Question

Which equation matches the graph? points: (0,2) (3,3)

a. y=1/3x+2
b. y=3x
c. y=1/3x
d .y=3x+2

Answer 1

A

Explanation:

Slope is change in y over change in x. Using the two points:

`(3-2)/(3-0)`

The slope is 1/3. This rules out B and D.

Let's put what we know into y = mx+b form.

`y=(1)/(3)x+b`

Use any of the two points and substitute into the equation, I will use (3,3):

`3=(1)/(3)\left(3\right)+b`

`1+b=3`

b = 2.

Plug back into equation to get:

`y=(1)/(3)x+2`

Which is A.

Answer 2

A. y=1/3x+2

Explanation:

Use the slope formula and the slope-intercept form to find the slope m and y-intercept b .

Slope:

1 /3

y-intercept:

( 0 , 2 )