Find an equation of the line that passes through the points (-2, 1) and (3, 3). Write your equation in either point-slope form, standard form, or slope-intercept form.

Answers

Answer 1
(-2,1)(3,3)

m=3-1/3+2=2/5

Equation of line in point slope. form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]

[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]

[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]

Answer 2

The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

What is the slope of the line?

The slope of a line is defined as the angle of the line.

Given that line passes through the points (-2, 1) and (3, 3)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]

⇒ y - 1 = (2)/(5)[x+2]

⇒ y - 1 = 2/5(x -3)

⇒ y = (2/5)x - 6/5 + 1

⇒ y = (2/5)x - 1/5

Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

Learn more about the Lines here:

brainly.com/question/14511992

#SPJ2


Related Questions

Simplify the expression.
x - 9 - 5x+7 - 2y ​

Answers

Answer:

add the like terms then look for a gcf to take out atleast for this one

so -9+7= -2

-5x + 1x = -4x

and -2y

we can take -2 out of all those

so our answer is -2(2x+y+1

(☞╹◡╹)☞ Enjoy ☜(╹◡╹☜)

Answers

Step-by-step explanation:

hey.....

how are uh

Which fraction is equivalent to 9/12

Answers

Answer:   Choice B)  15/20

=========================================================

Explanation:

Let's check to see if 9/12 is the same as 16/24.

Set them equal to one another, and then use cross multiplication like so

9/12 = 16/24

9*24 = 12*16

216 = 192

Both sides aren't the same value after simplifying everything. The third equation being false leads to the first equation being false as well.

Therefore, 9/12 is not the same as 16/24. We can rule out choice A.

-----------------------

Let's check choice B

9/12 = 15/20

9*20 = 12*15

180 = 180

We have a match, so 9/12 is the same as 15/20

Notice how:

9/12 = 0.7515/20 = 0.75

Both fractions lead to the same exact terminating decimal, which is more evidence that the two fractions are equivalent.

Choice B is the final answer.

in the function f(x)=6x^2-4, what is the value of f(-2)?

Answers

In order to find the value of f(-2), you can plug -2 wherever x is.

f(x) = 6x^2 - 4

f(-2) = 6(-2)^2 - 4

f(-2) = 6(4) - 4

f(-2) = 24 - 4

f(-2) = 20

Thus, the value of f(-2) is 20. Hope this helps! If you have any other questions related to this, let me know.

find three rational numbers between -1/2 and 1/2​

Answers

Answer:

-1/4, 1/8 and 1/5.

Step-by-step explanation:

Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)

Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)

Part C: Explain how the equations from Part A and Part B differ. (2 points)

Answers

Answer: 250=70x+50 For A

Step-by-step explanation:

Answer:

Part A 70x+50=250

Part B(75x + 35) = 250 - 5x

Step-by-step explanation:

31 points answer fast

Answers

The second one
Its : 2 over x + 2

At GameStop, there is a 30% off discount sale for a PS 5 originally priced at $600. After the sale, the discounted price of the PS5 was increased by 30%. What is the final price of the PS5 after the increase?

Answers

Answer:600-30 precent is $420 so is you increase it by 30 precent it would be

420 + (30% × 420) =

420 + 30% × 420 =

(1 + 30%) × 420 =

(100% + 30%) × 420 =

130% × 420 =

130 ÷ 100 × 420 =

130 × 420 ÷ 100 =

54,600 ÷ 100 =

546

Step-by-step explanation:

so 546 if wrong i am sorry

4.875 = d - 2.125

what do I do here?​

Answers

Answer:

d=7

Step-by-step explanation:

7-2.125= 4.875

7 is your answer as it balances both sides of the equation.

i got seven by adding 2.125. to 4.875

Answer:

Step-by-step explanation:

1. add 2.125 to both sides of your equation

4.875 = d - 2.125

+2.125        +2.125

7 = d

The d is now isolated which allows us to see the answer is 7 for d

Help plzdlkkdkkdkdnnzkzkzkskskeme

Answers

Answer:

ofc 8 there are 8 post card ♦️

Answer:

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222

Step-by-step explanation:

22222222222222222222222222222222222222

You counted 28 big dogs and 20 small dogs running around at the park.
What was the small dogs to big dogs ratio ?

Answers

Answer:

5:7

Step-by-step explanation:

The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.

Answers

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The slope m is a measure of the rate of change

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with |(x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = [tex]\frac{4-(-1)}{3-0}[/tex] = [tex]\frac{4+1}{3}[/tex] = [tex]\frac{5}{3}[/tex] ← rate of change

Answer:

slope(m) = 7/4

Step-by-step explanation:

You can use Rise over run in order to find out the answer. I just used points (0,-1) and (4,6) and the rise was positive 7 while the run is 4 so the rate of change or the slope is 7/4.

You could also use the long way to figure the slope of the line. You could use (y2 - y1) / (x2, x1) to get the same slope

PLEASE HELP.
WILL GIVE BRAINLIEST!!
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED !!!

Answers

Answer:

b; |-4|<|-5|

Step-by-step explanation:

Absolute value is the distance from zero, so the absolute value of -5 is greater than the the absolute value of -4.

HELP!!! I WILL GIVE BRAINLIEST!!!!

1.Find f(4) if f(x) = (1/2)x + 13

2.Find f(5) if f(x) = (3/5)x - 10

3.Find f(-1) if f(x) = x2 + 7

4.Find f(2) if f(x) = 3x3 -12x2

Answers

Answer:

15, - 7, 8, - 24

Step-by-step explanation:

1

f(4) = [tex]\frac{1}{2}[/tex] × 4 + 13 = 2 + 13 = 15

2

f(5) = [tex]\frac{3}{5}[/tex] × 5 - 10 = 3 - 10 = - 7

3

f(- 1) = (- 1)² + 7 = 1 + 7 = 8

4

f(2) = 3(2)³ - 12(2)² = 3(8) - 12(4) = 24 - 48 = - 24

Use parallelogram ABCD. What are the values of x and

y?

A

4y-3

B

x=

y =

3x-9

42

D

37

С

Answers

Answer:

the value of x is a number but you can say 1 when you are factorising quadratic expression with the terms

Answer:

x=17

y=10

Step-by-step explanation:

Nine more than a number, divided by -4, is a
maximum of -2." I also need step by step explanation please if u can

Answers

Step-by-step explanation:

Let's use the number represented x

x + 9 because 9 more than the x

(x+9)/-4 because it is divided by -4

(x+9)/-4 <= -2 (maximum of -2 means smaller than -2, but it also did not tell not to use -2)

A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two sets of data? median mode mean standard deviation.

Answers

Answer:

standard deviation on edge

Step-by-step explanation:

The statistic should he use to compare the spread of the two sets of data is the standard deviation.

What is a standard deviation?

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

We have,

The standard deviation is the statistic that should be used to compare the spread of two sets of data.

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

A larger standard deviation indicates that the data points are more spread out, while a smaller standard deviation indicates that the data points are more tightly clustered around the mean.

By comparing the standard deviations of the two sample sets of snowfall data, the scientist can determine which set has a larger or smaller spread of data.

Thus,

The statistic should he use to compare the spread of the two sets of data is the standard deviation.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ7

i need help please no bots

Answers

Answer:

>

Step-by-step explanation:

Squares eventually get bigger then when you multiply

if Andrew can paint 1 house in 4 days can he paint 9 houses in 27 days

Answers

Step-by-step explanation:

since this is a linear work and function, no, he cannot.

1 house in 4 days.

9 houses then in 9×4 = 36 days.

Kristen owns 61 shares of Prince Waste Collection and 45 shares of Nar Heating/Cooling. Nar Heating/Cooling is worth $7. 88 per share and Prince Waste Collection is worth $16. 59 per share. If Kristen sells all of her stocks, how much money will she receive? a. $657. 39 b. $1,366. 59 c. $1,227. 23 d. $1,296. 91.

Answers

Answer:

the answer to your question is B.) $1,366.59

Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?​

Answers

Step-by-step explanation:

kruitika- 42

Gordorn-31

so krutila was 11 when they gave birth to Gordon

she was 23 when they gave birth to pip

The youngest of them is pip so pip is =19

-2(x-2) - 4x = 3 (x + 1) - 9x

Answers

Answer:

No solution :(

Step-by-step explanation:

-2(x-2)-4x=3(x+1)-9x  love these problems.

-2x+4-4x=3x+3-9x<-- I first multiplied the number outside of the parentheses to the numbers inside. Keep in mind that when a negative time a negative, it equals a positive, in the case of -2*-2.

-6x+4=-6x+3<-- I then combined like terms.

Right away I see that -6 and -6 would cancel out if i just added it to the other side. Thus this equation has no solution.. sorry.

Julio says, “if you subtract 12 from my number and multiply the difference by -5, the result is -90” what is Julio’s number

Answers

work backwards and do the opposite sign!
-90 / -5 = 18
18 + 12 = 30
We can then plug in 30 to the original to check the work
30 - 12 = 18
18 * -5 = -90

Is the equations true.false.or open? x+3=5

Answers

Answer:

true

Step-by-step explanation:

i just plugged in 2 for x. 40% chance im right lol

Answer:

true

Step-by-step explanation:

Write the slope-intercept form of the equation

Answers

Answer:

y= [tex]\frac{1}{3}[/tex]x-1

Step-by-step explanation:

Slope intercept form= y=mx+b

m=slope

b=y-intercept

b=-1

m= [tex]\frac{1}{3}[/tex]

y= [tex]\frac{1}{3}[/tex]x-1

which reason would be used to justify the last step in the proof below​

Answers

Answer:

1.

Step-by-step explanation:

The ratio of boys to girls in a class is 3:5. There are 40 students in class.How many students are boys?

Answers

Answer:

1. 40/8 = 5

2. 3x5 : 5x5

3. 15:25

There are 15 boys to 25 girls in the class

Step-by-step explanation:

horizontal translation 5 unitss left

Answers

Answer:

The Rule for Horizontal Translations:

if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.

Step-by-step explanation:

First, let us look at the parent function f(x) = |x|. The graph of this function looks like the following.

Notice that it is symmetric about the y-axis and looks like a v. Now, that we have the parent function and its graph. Let's look at thow the four transformations happen.

Part I: Horizontal and Vertical Translations

First, we must have a definition of the two types of translations. A vertical translation moves the graph up or down. An example of that would be:

 

Here, the red graph has been moved up 10 units and the blue graph has been moved down 10 units. These are the two types of vertical translations.

The other type of translation is a horizontal translation. A horizontal translation moves the graph left or right. An example of this would be:

Here, the red graph has been moved to the left 10 units and the blue graph has been moved to the right 10 units.

Now that we have seen some examples of the these, let's see if we can figure out why these translations happen.

Here is an equation of one of the vertical translations: , which of the graphs do you think it is? If you said the red one, you are correct.

Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.

What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through vertical translations.

Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.

The Rule for Vertical Translations:

if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a postive value and downward when k is negative value.

Here is an equation of one of the horizontal translations: , which of the graphs do you think it is? If you said the red one, you are correct.

Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.

What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through horizontal translations.

Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.

The Rule for Horizontal Translations:

if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.

Hope this helps, have a nice day/night! :D

If it helped, please mark as brainliest!

a doubles tennis court measures (7x+8) ft in length and (3x+6) ft in width. which expression represents the area of the court

Answers

If the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]

Recall:

Area of a rectangle = length x width

Given the algebraic expressions for the dimension of the rectangular court as:

length = (7x + 8) ft

width = (3x + 6) ft

Therefore,

Area = [tex](7x + 8) \times (3x + 6)[/tex]

Apply the distributive property

[tex]Area =7x(3x + 6) +8(3x + 6)\\\\Area = 21x^2 + 42x + 24x + 48\\\\[/tex]

Add like terms

[tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]

Therefore, if the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]

Learn more here:

https://brainly.com/question/17041379

graph :

x > - 3 and y < 1

Answers

Answer:

Step-by-step explanation:

i dont know  if this helped u but if it did let me know

Other Questions
How can you contribute for your nation in the future? write in brief. let p be the number of primes less than 100, and let Q be the number of primes less than 90. What is the value of P-Q? Solve for x.3/5 (x 7 1/0)= 3 1/4Enter your answer as a mixed number in simplest form. Which scenario goes with the vocabulary word el yeso? (1 point) Does anyone know? Help please I'm embarrased What is so special about the new Hayden Planetarium? What is Abacus in terms of maths ? Plis no links i need help It is predicted that the value of a home will decrease by a rate of 4.6% annually due to a recent recession. Today, the value of the home is $185,000. What is the predicted value of the home in 6 years? what year did the macys thanksgiving day parade first have balloons? Cerrado means _____.openclosedlostfound Triangle MAF has sides lengths 223, 258 , and 276. Find the measure of the largest angle. a) 68.72degrees b) 69.56degrees c)66.98degrees d) 70.45degrees plz help will mark as brainliest I need help with essay pls help, choose fromaunt imogen, a servant to servants, the love song of j. alfred putrock, selected poems from Love Songs by sara teasdale, or grass by carl sandburgSelect three of the five poems discussed in the project. Write an essay of at least 750 words that analyzes how the three modernist poems address the themes of loss or isolation. Support your analysis with detailed evidence and examples from the poems. Which of the following are central ideas that develop the topic? Check the three boxes that apply. The Kiowa tribe intends to stay on its land. US soldiers threaten both Kiowa land and the tribes way of life. White Americans and American Indians should live in isolation to maintain peace. It is important to the Kiowa tribe to maintain their traditions and lifestyle. What are some possible applications of therapeutic cloning? The Batpod and The Falcon Cycle are traveling down thehighway. That Batpod can travel at a speed of 4 milesper minute; while the Falcon Cycle can double that at aspeed of 8 miles per minute. If Falcon gives Batman a 6minute head start. How long will Batman have traveledbefore Falcon catches him?I need help so I can turn in my Packet?!?!? PleaseHelp! Quick!Read the play.The Beggar and the Kingby Winthrop Parkhurst[A chamber in the palace overlooks a courtyard. The season is midsummer. The windows of the palace are open, and from a distance there comes the sound of a man's voice crying for bread.][THE KING sits in a golden chair. A golden crown is on his head, and he holds in his hand a sceptre which is also of gold. A SERVANT stands by his side, fanning him with an enormous fan of peacock feathers.]THE BEGGAR: (outside) Bread. Bread. Bread. Give me some bread.THE KING: (languidly) Who is that crying in the street for bread?THE SERVANT: (fanning) O king, it is a beggar.THE KING: Why does he cry for bread?THE SERVANT: O king, he cries for bread in order that he may fill his belly.THE KING: I do not like the sound of his voice. It annoys me very much. Send him away.THE SERVANT: (bowing) O king, he has been sent away.THE KING: If that is so, then why do I hear his voice?THE SERVANT: O king, he has been sent away many times, yet each time that he is sent away he returns again, crying louder than he did before.THE KING: He is very unwise to annoy me on such a warm day. He must be punished for his impudence. Use the lash on him.THE SERVANT: O king, it has been done.THE KING: Then bring out the spears.THE SERVANT: O king, the guards have already bloodied their swords many times driving him away from the palace gates. But it is of no avail.THE KING: Then bind him and gag him if necessary. If need be cut out his tongue. I do not like the sound of the fellow's voice. It annoys me very much.THE SERVANT: O king, thy orders were obeyed even yesterday.THE KING: (frowning) No. That cannot be. A beggar cannot cry for bread who has no tongue.THE SERVANT: Behold he canif he has grown another.THE KING: What! Why, men are not given more than one tongue in a lifetime. To have more than one tongue is treason.THE SERVANT: If it is treason to have more than one tongue, O king, then is this beggar surely guilty of treason?THE KING: (pompously) The punishment for treason is death. See to it that the fellow is slain. And do not fan me so languidly. I am very warm.THE SERVANT: (fanning more rapidly) Behold, O great and illustrious king, all thy commands were obeyed even yesterday.THE KING: How! Do not jest with thy king.THE SERVANT: If I jest, then there is truth in a jest. Even yesterday, O king, as I have told thee, the beggar which thou now hearest crying aloud in the street was slain by thy soldiers with a sword.THE KING: Do ghosts eat bread? Forsooth, men who have been slain with a sword do not go about in the streets crying for a piece of bread.THE SERVANT: Forsooth, they do if they are fashioned as this beggar.THE KING: Why, he is but a man. Surely he cannot have more than one life in a lifetime.THE SERVANT: Listen to a tale, O king, which happened yesterday.THE KING: I am listening.THE SERVANT: Thy soldiers smote this beggar for crying aloud in the streets for bread, but his wounds are already healed. They cut out his tongue, but he immediately grew another. They slew him, yet he is now alive.THE KING: Ah! That is a tale which I cannot understand at all.In The Beggar and the King, what does the king's reaction to the beggar reveal about the king?The king has no respect for human life. The king welcomes advice from his servants.The king is troubled by poverty and suffering.The king is unsure how to use his authority. Depletion time describes the length of time it takes to use up Which expression is equivalent to 2x + 2x + 2y + 2y?A) 2x2yB) 4 + xyC) 4x + 4yD) 8xy According to _________, all people are born with the potential for a fulfilling life and just need the correct conditions to thrive.