Write an equation in slope intercept form for the graph (-3,3) (3,-1)

y = (-3/2)x + 7/2

Step-by-step explanation:

Find the slope of this line first.

As you move from the first point to the second, x (the 'run') increases by 6 and y (the 'rise') decreases by 4 (from 3 to -1).  Thus the slope is

m = rise/run = -6/4 or -3/2.

Find b for this situation, using y = mx + b, m = -3/2, y = -1 and x = 3:

-1 = (-3/2)(3) + b.  Multiply all three terms by 2:

2(-1) = -9 + 2b, or 7 = 2b.  Then b = 7/2, and the desired equation is

y = (-3/2)x + 7/2

ur problem's solution here.