Given the Points (0,4) and (3,2) answer the following:
a. what is the equation of the line that goes through these points in
Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?

Answers

Answer 1

Answer:

a. y = -2/3(x) + 4

B. 2

C. 4

Step-by-step explanation:

The gradient, m = (2-4)/(3-0) = -2/3

A. To find the equation of the line we use:

y - y1 = m(x - x1).

We can pick any of the above points, if any of them is picked you will be getting the same answers regardless.

We will pic points (0, 4)

Substitute it in the equation.

=> y - 4 = (-2/3) (x - 1)

cross multiple or multiple through by 3. (same thing basically) and evaluate y and x.

=> y = (-2/3)x +4..

(ps: this x is a variable)

B. To find the x-intercept of an equation y = 0, substitute and evaluate for x form the equation of the line

C. To find the y-intercept in an equation x = 0, substitute and evaluate for y from the equation of the line


Related Questions


Tianna's Urbanwear advertises the following sale: Shirts are 1/2 off the original price; pants are 1/3 off the
original price; and shoes are 1/4 off the original price.
A pair of pants usually sells for $33.00. What is the sale price of a pair of pants?
Show Your Work
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Submit

Answers

A pair of pants is normally $33, so we multiple the original price by the 1/3 discount or .33, 33* (1/3)= 11 so we get an $11 discount, $33-$11 = $22, the sale price for a pair of pants is $22

Find the 59th term of the arithmetic sequence 26, 17, 8, ...26,17,8,

Answers

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant to the previous term.

we clearly see, that constant here is -9.

we start with 26.

a1 = 26

a2 = a1 - 9 = 26 - 9 = 17

a3 = a2 - 9 = a1 - 2×9 = 26 - 18 = 8

so, we see

an = an-1 - 9 = a1 - (n-1)×9 = 26 - (n-1)×9

a59 = 26 - 58×9 = -496

The choir needs to raise $2,620.00 for a trip to the state competition. They are selling sets of candles for $25.00 per set. They have already raised $1,225.00 from the fundraiser.

Answers

Answer:

The band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.

Step-by-step explanation:

i just did that question like 3 mins ago lol

the price of a pair of shoes increases from $58 to $61 What is the percent increase to the nearest percent?
please help I will mark brainliest​

Answers

Answer:

23.08

Step-by-step explanation:

Select all the equations that have {6} as its solution set.

15−x=54x

8+3x=6x−10

x2+2=7x−4

43−4x=3x−1

Answers

ANSWER:

The ANSWER IS 2. if two solutions are allowed then 2. AND 3. and if your rounding, then 2. 3. and 4.

Step-by-step explanation:

For the first one it is: 0.27... or 3/11

For the second one it is: 6

For the third one it is: 1 or 6, meaning it has two solutions

For the fourth one it is: 6.285714, or 44/7

for the first one: 15-x=54x -> add x to both sides: 15=55x -> then divide both sides by 55: x=3/11

for the second one: 8+3x=6x-10 -> subtract 6x from both sides: 8-3x=-10 -> subtract 8 from both sides: -3x=-18 -> divide both sides by -3: x=6

I'm actually supposed to be doing school, so I don't have time to explain the last two, but I wanted to help, so please give 4 stars or brainliest. and thanks for waiting patiently.

The equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

The equations that have {6} as its solution set is,

We have to solve the equation in order to find the value of x,

Equation 1,

15−x=54x

54x+x=15

55x=15

x=0.27

Equation 2,

8+3x=6x−10

6x-3x=-10+8

3x=18

x=6

Equation 3,

x²+2=7x−4

x²-7x+6=0

x²+6x+x+6=0

x(x+6)+1(x+6)=0

(x+1)=0 , x=-1

(x+6)=0, x=-6

Equation 4,

43−4x=3x−1

4x+3x=43+1

7x=44

x=44/7

x=6.285

Thus, the equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

help asap :)

8 1/4 as a percent

Answers

Answer:

Its 8.25% I know this because of history of math in my family

For positive acute angles A and B, it is known that cos A = 4/5 and tan B =5/12 Find the value of cos(A + B) in simplest form.

Answers

Answer:

33/16

Step-by-step explanation:

What are the values of the two angles?

Answers

Answer:

the angle 3x is 42 degrees, the angle 12x-30=138 degrees

Step-by-step explanation:

first, write an equation to represent the problem.

3x+(12x-30)=180

3x+12x=210

15x=210

x=14

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in 2 steps, one being Theory and the second being Solving. I'll start off with Theory.

Theory

There are many theorems in Geometry, from the very simple to the very complex, you also have got the standard information that is usually known by many people.

In this case, we can see that it is a Supplementary Angle. We know that Supplementary Angles add up to 180 degrees and Complementary Angles add up to 90 degrees.

Now that we know that we can solve the problem.

Solving

So, we know that both angles have to add up to 180 degrees because the line is a straight line and that means that the angles on it must be 180 degrees.

Since we know this, we can state the following equation:

[tex]3x+12x-30=180[/tex]

We can say this due to the rule of Supplementary angles adding up to 180 degrees.

We can now use Algebra to simplify the equation:

[tex]3x+12x-30=180\\3x+12x=210\\15x=210\\x=14[/tex]

After doing algebra we can see that x s equal to 14 degrees, we can check our answers by putting that back into the equation.

[tex]3(14)+12(14)-30=180?\\42+168-30=180?\\210-30=180?\\180=180[/tex]

We have proven that our answer is correct, therefore the answer is [tex]x=14[/tex] degrees.

Cheers!

Select the correct expression. Which expression is equivalent to 5^4 · (5^-2)^3 ?
5-^3
5^2
5^-2
5^-1

Answers

we have 5^4 . (5^-2)^3 = 5^4 . 5^-6 = 5^ (4-6) = 5^-2

ok done. Thank to me :>

can someone please do this? nit the mini task though, number 8

Answers

1 is C

2 is D

3 is C

4 is A

5 is D

5 is A

7 is B

The area of a parallelogram can be found by the equation area=(b)(h) Find the height of a parallelogram that has an area of 10&1/2 in and a base of 3/4 the height of the parallelogram is ____ inches

Answers

Answer:

1/2×b×h you say 1/2 =3/4×10=answer ×1/2×1/2 you get the equation

Lines Q and R are parallel find the value of N and the angle measures​

Answers

Answer:

Check the steps given below.

Step-by-step explanation:

I hope this helps you

Answer:

n = 55

n+15 = 70

2n = 110

Step-by-step explanation:

these angles are called 'same-side interior angles' and are supplementary

so we can add them together and set them equal to 180

n+15 + 2n = 180

combine 'like terms' to get:

3n + 15 = 180

subtract 15 from each side to get:

3n = 165

divide each side by 3 to solve for 'n'

n = 165/3

n = 55

substitute 55 for 'n'

55+15 = 70

2(55) = 110

check: 70 + 110 = 180

Lisa is ordering 5 bags of cat food from Canada. Each bag has a mass of 6 kg To determine the shipping costs, Lisa needs to know the total weight in pounds. What is the weight of the cat food in pounds?

Answers

Answer:

About 66 Lb

Step-by-step explanation:

7/8 rounded to the nearest thousand​

Answers

7/8= 0.875
no rounding necessary

help me please
only the 22. (c)

Answers

Answer:

d.

took the test

Step-by-step explanation:

Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.

Will make brainliest

Answers

See the steps below:

x² + 4x - 7 = 0x² + 4x + 4 - 4 - 7 = 0(x + 2)² - 11 = 0(x + 2)² = 11x + 2 = ± √11x = - 2 ± √11x = -2 ± 3.32x = 1.32, x = - 5.32

-6x + 8y = 12 and -3x + 4y = 6

Answers

Answer:

y = (3/4)x + (3/2)

Step-by-step explanation:

all points on that line

Which of the following is equivalent to 16 3/2

Answers

Answer:

b is the answer because I don't know what to do with it and

Does the point (4, 10) satisfy the inequality y greater than or equal to 2x + 2?

Answers

Answer:

Yes, the point (4,10) satisfies the inequality.

Step-by-step explanation:

In order to answer this question, we can plug the values x = 4 and y = 10 into the inequality:

y ≥ 2x + 2

10 ≥ 2(4) + 2

Then solve:

10 ≥ 8 + 2

10 ≥ 10

Since the value 10 is greater than or equal to itself, the inequality is true at the point (4,10).

A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 meters long. How tall is the building?


The building is meters tall.

Answers

Answer: The building is 35 meters tall.

Step-by-step explanation:

420 divided by 24 is 17.5  

17.5 x 2 is 35

(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)

Step functions

I don’t get what’s it’s trying to tell me to do not do I know where to begin

Answers

Answer:

[7.8] = 8

[0.75] = 1

...

Step-by-step explanation:

step function takes the value of the greatest integer

pls answer quick.
which problem-solving strategy would be best to solve this problem how many different ways can you give change for 45 cents?

A) make a table, chart or list

B) work backwards

C) use a formula

D) look for a pattern​

Answers

Answer:

a:make a table ,chart or list

the answer is A) make a table, chart or list

Solve for r.
4r+10>6
71 points

Help Plslsspsl

Answers

Answer:

r > -1

Step-by-step explanation:

4r + 10 > 6

4r + 4 > 0

4 > -4r

-4 < 4r

-1 < r

r > -1

Answer:

r > - 1 or r ∈ (- 1, + ∞)

Step-by-step explanation:

4r + 10 > 64r > 6 - 104r > - 4r > - 4/4r > - 1 or r ∈ (- 1, + ∞)

Can someone help me with this?

Answers

Answer:

y = 3x + 7.

Step-by-step explanation:

The slope = 6/2 = 3

y-intercept = 7.

Answer:

y = 3x + 7

Step-by-step explanation:

y-intercept = 7    {where the line intersect at y-axis (0,7)}

Plot a point:  (-1 ,4 )

Slope intercept form: y = mx + b

y = mx + 7

4 = m*(-1) + 7

4 = -m + 7

4 - 7 = -m

-m = -3

m = 3

y = 3x + 7

Maria and Ming start at the same point and drive in opposite directions. Maria drives 60 mph and Ming drives 48 mph. How far apart will they be in 3 hours?

Answers

Answer:

36

Step-by-step explanation:

60x3 = 180

48x3=144

subtract those 2wo numbers ( 180 and 144 ) and you'll get 36

how do you read real life graphs?

Answers

Answer:

"To interpret a graph or chart, read the title, look at the key, read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed."

Step-by-step explanation:

A scrapbooking store is selling rubber stamps for four dollarsand $4.95 each. The total sales F(n) is a function of the number of rubber stamps n sold
A. Identify the independent and dependent variables
B. What values of the domain and range make sense for this situation? explain
C. Write a function to represent the total sales. Then determine the total sales for five stamps

Answers

A. Independent variable: number of rubber stamps n sold. Dependent variable: F(n), the total sales.

B. Only whole numbers. It is impossible to have negative and/or fractional stamps.

C. F(n) = $4.95n, which is 4.95 times n.

So, plugin 5 for n

[tex]f(5)= \$4.95(5)[/tex]

F(n) = $24.75

which answer is correct

Answers

Answer:

see below for answer

Step-by-step explanation:

(4p^2+32p)/(p-2)=(4p(p+8))/p-2

(p^2+p-6)/(2p^3+16p^2)=(p+3)(p-2)/(2p^2)(p+8)

(4p(p+8)/(p-2))*((p+3)(p-2)/((2p^2)(p+8)))=2(p+3)/p

whats the answer.......................................................................................................................................

Answers

Answer:

dots?.............................................................................................................................................................................................................................................................

Step-by-step explanation:

The chess team wants to have practice two different days next week from money through friday. How many schedules can be made?

Answers

Answer:

2 schedule

I I think you can go for Tuesday and Friday because Tuesday totally good and Friday is stress-free because the day after is Saturday

I also try to gather the chess team in figure out a way suitable for your practice, maybe some are going to be busy

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