How do you go about graphing polynomial functions??

y = (3/2)x + 11

Step-by-step explanation:

We can start from the point slope form of a linear function:

(y-y1)=m(x-x1)

The slope m can be determined from the points given as m = (y2-y1)/(x2-x1)=(8-2)/(-2-(-6))=6/4=3/2

Then use either of the given points as x1, y1 to complete the equation (I picked the point (-6,2):

y-2=(3/2)(x+6)

You can rearrange this to:

y = (3/2)x + 11