Algebra 2 Math question Grade 11
Can anyone please help me with this question? Soon as possible!


Write an equation for the line that passes through the points (3,5) and (-2, 1).

All work must be shown for full credit. Be sure to include slope calculation.

Answers

Answer 1

Answer:

[tex]\displaystyle y=\frac{4}{5}x+\frac{13}{5}[/tex]

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The points are (3,5) and (-2,1):

[tex]\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}[/tex]

The equation is now:

[tex]\displaystyle y=\frac{4}{5}x+b[/tex]

To calculate b, we use any of the given points and solve for b. Use (3,5):

[tex]\displaystyle 5=\frac{4}{5}3+b[/tex]

Operate:

[tex]\displaystyle 5=\frac{12}{5}+b[/tex]

Solve:

[tex]\displaystyle b=5-\frac{12}{5}=\frac{13}{5}[/tex]

The required equation of the line is:

[tex]\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}[/tex]


Related Questions

-4x+1/3+2-x/5=



the dashes are fraction things the 3 and the 5 are denominators I have the answere I just wanna check.​

Answers

Answer:

-21x/5 + 7/3

Step-by-step explanation:

-4x + 1/3 + 2 - x/5

= -4x - x/5 + 1/3 + 2

= -(20x+x)/5 + (1+6)/3

= -21x/5 + 7/3

An airplane is flying at an altitude of 3,000 ft. The pilot dives 988 feet and then rapidly climbs 748 feet. The pilot then dives again 885 feet before making another climb of 1,099 feet. How far above or below an altitude of 3,000 feet is the airplane? A. 26 feet below B. 26 feet above C. 248 feet below D. 248 feet above

Answers

Answer:

A 26 feet below

Step-by-step explanation:

3,000 - 988 + 748 - 885 + 1,099 = 2,974

The measure of an angle is 63°. What is the measure of its supplementary angle?

Answers

Step-by-step explanation:

[tex]63 + x = 180 \\ x = 180 - 63 \\ x = 117 \\ so \: the \: supplemetary \: angle \: of \: 63 \: deg \: is \: 117 \: deg.[/tex]

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️

What is the greatest number that will divide 307 and 330 having the reminder 3 qnd 7

Answers

Answer:

19.

Step-by-step explanation:

Answer:

The required number  = 19

Step-by-step explanation:

307 - 3 = 304

330 - 7 = 323

Find GCF of 304 & 323

304 =  2* 2 *2 * 2 * 19

323 = 17 *19

HCF = 19

The required number  = 19

When you divide 307 by  19, you will get an remainder 3

When you divide 330 by  19, you will get an remainder 7

PLEASE HELP WILL GIVE BRANI FOR ANY RIGHT ANSWER

Answers

Answer:

the bottom left one error is on step 3

Step-by-step explanation:

Answer:

poines

Step-by-step explanation:

What is the image point of (5,0) after a translation right 5 units and down 3 units?

Answers

Answer:

(10, -3)

Step-by-step explanation:

When translating left or right, the x intercept will be altered. When translating up or down, the y intercept will be altered.

PLEASE HELP TRAMSERRAN you dont have to show work!

Answers

Answer:

1. Slope: -0.75x or -3/4x

Y-intercept: 7

Equation: -0.75x+7 or -3/4x-7

Remember -0.75 and -3/4 are the same!

2. Equation: 0.5x-3 or 1/2x-3

I used slope intercept form to solve. (y2-y1 over x2-x1) If you need more help comment below or send me a link!

Answer: (1) -3/4   (2) 7     (3) y = (-3/4)x + 7     (4) 1/2

Step-by-step explanation:

1) COUNT the number of spaces from one point to the other point.

   from (0, 7) to (4, 4) is: down 3 and right 4   →   m = -3/4

2) the y-intercept is where the line crosses the y-axis (when x = 0).

   The line crosses the y-axis at (0, 7)    →   b = 7    

3) Slope-Intercept form is y = mx + b

   m = -3/4  and b = 7     →      y = (-3/4)x + 7

4)  COUNT the number of spaces from one point to the other point.

 from (-2, -4) to (2, -2) is: up 2 and right 4   →   m = 2/4  = 1/2 when simplified

Help me pleaseee.....

Answers

Answer:

titutex=cos\alp,\alp∈[0:;π]

\displaystyle Then\; |x+\sqrt{1-x^2}|=\sqrt{2}(2x^2-1)\Leftright |cos\alp +sin\alp |=\sqrt{2}(2cos^2\alp -1)Then∣x+

1−x

2

∣=

2

(2x

2

−1)\Leftright∣cos\alp+sin\alp∣=

2

(2cos

2

\alp−1)

\displaystyle |\N {\sqrt{2}}cos(\alp-\frac{\pi}{4})|=\N {\sqrt{2}}cos(2\alp )\Right \alp\in[0\: ;\: \frac{\pi}{4}]\cup [\frac{3\pi}{4}\: ;\: \pi]∣N

2

cos(\alp−

4

π

)∣=N

2

cos(2\alp)\Right\alp∈[0;

4

π

]∪[

4

;π]

1) \displaystyle \alp \in [0\: ;\: \frac{\pi}{4}]\alp∈[0;

4

π

]

\displaystyle cos(\alp -\frac{\pi}{4})=cos(2\alp )\dotscos(\alp−

4

π

)=cos(2\alp)…

2. \displaystyle \alp\in [\frac{3\pi}{4}\: ;\: \pi]\alp∈[

4

;π]

\displaystyle -cos(\alp -\frac{\pi}{4})=cos(2\alp )\dots−cos(\alp−

4

π

)=cos(2\alp)…

1

Top

Display

Jenny is organising a barbecue. There are 30 bread rolls in a pack. There are 16 sausages in a pack. She needs exactly the same number of bread rolls as sausages. What is the smallest number of each pack she must buy?

2. Tom, Sam and Matt are doing a show by counting drum beats .They decided to donate the collecting money for the poor children for their studies. Tom hits a snare drum every 2 beats. Sam hits a kettle drum every 5 beats. Matt hits a bass drum every 8 beats. Tom, Sam and Matt start by hitting their drums at the same time. How many beats is it before Tom, Sam and Matt next hit their drums at the same time? What value you can see in their act

Answers

Answer:

She need to buy 8 packs of rolls and 15 packs of sausages! The LCM is 240 so you would need to find out how many packs or rolls and how many packs of sausages equal 240!

Step-by-step explanation:

1.45 rounded to the nearest hundredth

Answers

Answer:

1.45

Step-by-step explanation:

1.45 is already rounded to the nearest hundredth..

Answer:

1.45 (no need to round)

Step-by-step explanation:

When looking at this question we can clearly see that there are only 2 numbers behind the decimal.

We know that the number closet to the decimal is the tenths place.

And that the number second closet to the decimal is the hundredths place.

And that the number third closet to the decimal is the thousandths place.

Since there is no thousandths place we can't round the 5 up.

Which is why your answer is 1.45

Geometric Proofs Quick Check
What type of proof uses boxes and arrows? (1 point)
O an indirect proof
O a paragraph proof
O a two-column proof
a flowchart proof

Answers

A flowchart proof is the answer

True or false? The graph represents a function.

Answers

True, if you use the vertical line test there is never two points on the same vertical line.

When two parenthesizes are near each other what does that mean

Answers

Answer:

I think it is Brackets

Step-by-step explanation:

Good luck

i just need a little help​

Answers

Answer:  

your answer should be 2 and 1/4ths

Step-by-step explanation

2 and 1/4ths bc 5 is more than 4 and there is already a whole so there for there are going to be 2 wholes then there are still parts left over and its out of 4 and there is only one left over so there for it would be 1/4ths.

An irrational number between 2 and 2.5

Answers

Answer:

Irrational number between 2 and 2.5 = √2*2.5 = √5

Step-by-step explanation:

2 < √5 < 2.5

We know that √5 is an irrational number.

So, √5 is the required irrational number between 2 and 2.5.

Please please help asap!!!! Solve for the indicated variable. 3a + 6b = 4 for b

Answers

Answer:

b = (4/6) - a/2

Step-by-step explanation:

6b + 3a = 4

6b = 4 - 3a

b. = (4 - 3a)/6

b. = (4/6) - a/2

The value of b is (4 - 3a)/6, or the equation in terms of a is (4 - 3a)/6 after making the subject as b.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

In the provided expression, variable and constant are there

It is given that:

The equation in a and b, where a and b are the variables:

3a + 6b = 4

Here the indicated variable is b.

To find the value of b in terms of a make the subject as b:

Subtract 3a on both the sides in the equation 3a + 6b = 4:

The equation becomes:

3a + 6b -3a = 4 - 3a

6b = 4 - 3a

Divide by 6 on both sides:

The equation becomes:

6b/6 = (4 - 3a)/6

b = (4 - 3a)/6

Thus, the value of b is (4 - 3a)/6, or the equation in terms of a is (4 - 3a)/6 after making the subject as b.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

50/13 as a decimal rounded to the nearest 10th

Answers

Answer:

3.8

Step-by-step explanation:

50/13=3.8 rounded tot he nearest tenth

A triangle has sides measuring 8 inches, 5 inches and 4 inches. How would you classify it?

Answers

Answer:

Acute triangle because the angles are smaller than a right triangle  

Step-by-step explanation:

As 5² + 4² < 8² it falls into the category of a² + b² < c², therefore it is an acute angle triangle.

What is the way of classifying a triangle?

If a² + b² < c² then it is an acute angle triangle.

If a² + b² = c² then it is a right-angle triangle.

If a² + b² c² then it is an obtuse angle triangle.

Given, A triangle has sides measuring 8 inches, 5 inches and 4 inches.

So, 5² + 4² ? 8².

25 + 16 ? 64.

41 ? 64.

So, 41 < 64 therefore it is a² + b² < c² then it is an acute angle triangle.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ2

When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?


A• 1:8

B• 8:1

C• 1:9

D• 9:1

(Worth 30+ Points)

Answers

Answer:

c

Step-by-step explanation:

If two number cubes are rolled, the odds in favor of getting two numbers less than 3 is 1 : 9.

What is the probability?

Probability determines the odd that an event would happen. The odd the event occurs is 1 and the odd that the event does not occur is 0.

Odds in favor of getting two numbers less than 3 = (numbers less than 3 / total numbers) x (numbers less than 3 / total numbers)

2/6 x 2/6 = 1/9

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ2

−5(−8x − 8) − 4 = 5(5 + 8x) + 11 please show work

Answers

Answer:

all values of x makes the equation true

Step-by-step explanation:

-5(-8x-8)-4 = 5(5+8x)+11

40x + 40 - 4 = 25 + 40x + 11

40x + 36 = 40x + 36

all values of x makes the equation true

40x+40-4=25+40x+11
40x-40x=11+25+4-40
0x=0
X=0
No solution

5(-7)-2(-7+3)^2 I know the answer but I need the steps!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

5(-7)-2(-7+3)^2

=-35 - 2(-4)^2

=-35 - 2x16

=-35 - 32

=-67

Am i right? :o

Elijah opens a savings account with $60. Each week after, he deposits $25. In how many weeks will he have saved $600?

Answers

Answer:

25w + 60= 600

25w= 540

w=21.6

Step-by-step explanation:

First make the equation

1. Subrtract 60 from each side

2. Now divide 25 on both sides

3. now you have the answer

I GOT A DECIMAL SO MAYBE ROUND OR PUT THAT EXACT ANSWER.

Answer:

24

Step-by-step explanation:

What I did was divide 600 by 25 and got 24.So, Elijah has $600 after 24 weeks                                                                              

help please (: this has something to do with geometry!!

Answers

64° because the equation would be everything added equal to 360 so 180+90+26+x=360 so when you solve 296+x=360 , then you subtract 297 from both sides so you end up with x=64

Answer: x=64°

Step-by-step explanation:

According to the diagram, the two intersecting lines are perpendicular. That means each part is 90°. Since the left side is labelled to be 180°, we know that the sum of the right side is also 180°.

26+x+90=180            [combine like terms]

116+x=180                  [subtract both sides by 116]      

x=64°

Now, we know that x=64°.

On the other hand, we can see that 26+x=90. We can also use that to solve for x.

26+x=90                    [subtract both sides by 26]

x=64°

Solve the formula for the area of a parallelogram the height,
h.
A = bxh
h= _(use the / symbol to show division)

Answers

Answer:

h=A/b

Step-by-step explanation:

Think of putting number in the place of the letter, for example

A is 4

b is 2

h is 2

4=2 x 2        then plug the numbers in the right spot

2=4/2           then see what can be rearranged or what is left to make the              

                     equation true

i need math help please

Answers

Answer:

n+11=15

  -11 -11

n=4

Step-by-step explanation:

subtract 11 from both sides

Answer:

-11 -11

n=4

Step-by-step explanation:

subtract on both sides

-11

you get left with n=4

2cy + 8m = 2f solve for c

Answers

Answer:

c=(f-4m)/2y

Step-by-step explanation:

2cy = 2f -8m

divde both sides by 26

c=(2f-8m)/2y

simplify

c=(f-4m)/y

A ticket to see your favorite baseball team costs $45.65. That price decreases by $0.25 for every game lost during the regular season. What equation could you use to find the cost of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 42 games. What is the price of a ticket after the team loses 42 games?

Answers

Answer:

Cost = $45.65 - $0.25L

after 42 losses:

45.65 - 0.25(42) = $35.15

Find the value of g (-2) if g(x) = x3 - x

Answers

Answer: -6

Step-by-step explanation:

See attached picture

PLZ HELP I WILL GIVE 100 POINTS
Complete the paragraph proof below.
1.
2.
3.
4.

Answers

Answer:

1. linear pair

2.  Substitution Property of Equality

3. Subtraction Property of Equality

4.  <1  ≅ <3

Step-by-step explanation:

1. linear pair

A linear pair is a pair of angles that  that are adjacent and add to 180 degrees

linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary.

2.  Substitution Property of Equality

<1 + <2 = 180  and <2+ <3 = 180

<1 + <2 = <2 + <3

3. Subtraction Property of Equality

<1 + <2  - <2= <2 - <2+ <3

<1 = <3

4.  <1  ≅ <3

Find the distance between (3,4) and (4,-6).

Answers

Answer:

The answer is

[tex] \sqrt{101} [/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,4) and (4,-6)

The distance between them is

[tex]d = \sqrt{ ({3 - 4})^{2} + ({4 + 6})^{2} } \\ = \sqrt{ ({ - 1})^{2} + {10}^{2} } \\ = \sqrt{1 + 100 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{101} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{101} [/tex]

Hope this helps you

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