7. The graph of the linear function is shown on the coordinate grid below.

 C . The slope is -4/3  and the y-intercept is 4.

Step-by-step explanation:

Using the two given points, we will use them to evaluate the slope and the y intercept.  

(-1.5,6)

( 4.5,-2)  

To find the slope we will find the difference in the y coordinates of the points and divide it by the difference in the x coordinates of the point.

6-(-2) = 8  

-1.5 - 4.5 = -6

Slope :  8/-6=  -4/3.

Since the slope is -4/3, we will use the formula  y= mx + b to find the y intercept. In the formula  y= mx + b, the slope is m and b is the y intercept.  

Use one of the given points, and input its x and y values into the formula including the slope to solve for b(the y-intercept).

We will use the point,  ( -1.5,6)  

6 = -4/3(-1.5) + b

6 = 2 + b  

-2   -2

b = 4.

b is indeed equal to 4 because it even indicates on the  graph that the y intercept is 4 which is where x is equal to 0.