Answer is the fraction -3/4
============================================================
Step-by-step explanation:
Pick two points on this diagonal line where (x,y) has whole number coordinates. Two such points that fit the description are (-3,2) and (1,-1)
Use the slope formula to find the slope through these points
m = (y2-y1)/(x2-x1)
m = (-1-2)/(1-(-3))
m = (-1-2)/(1+3)
m = -3/4 is the slope
-------------------------
Extra info:
It doesn't matter which two points you pick as you'll always get the same slope value. Of course, the points must be on the diagonal line.
The negative slope indicates the line goes downhill as you move from left to right.
slope = rise/run = -3/4
rise = -3, a negative rise means we go down 3 units
run = 4, we go to the right 4 units
so we go down 3 and over to the right 4. This will move us from (-3,2) to (1,-1)