What is the equation of the graphed line? (0,7) and (8,-2). then what is it in in slope-intercept form?

So you're going to need to find the slope. in order to do that use (y2-y1) / (x2-x1)

(7 - (-2)) / (0-8)

simplify

9/-8

simplify - 9/8

now using y=mx+b, we need to find b. so we can plug in the coordinates of (0,7) or (8,-2). let's use (8,-2) because it involves more math.

y=mx+b

-2 = (-9/8) (8) + b

multiply (-9/8) by 8 to get - 9

-2=-9+b

add 9 to both sides

7=b

so our equation is now

y = - (9/8) x+7