Answer:
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
