Question

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

Answer 1

Answer:

A. y=1/3x+2

Step-by-step 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 )

Answer 2

Answer:

A

Step-by-step explanation:

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

$\frac{3-2}{3-0}$

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

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

$y=\frac{1}{3}x+b$

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

$3=\frac{1}{3}\left(3\right)+b$

$1+b=3$

b = 2.

Plug back into equation to get:

$y=\frac{1}{3}x+2$

Which is A.