Answer:
-3/4
Step-by-step explanation:
The slope is defined as deltaY/deltaX, in other words, how much does the Y change for every unit of X.
You can figure this out using any two points on the line.
Seeing that (0,1) and (4,-2) are convenient points on the line, we can see that deltaY = 1 - -2 = -3 and deltaX = 4, since the Y goes from +1 to -2 (3 down) and X goes from 0 to 4 (4 to the right).
Divide those, and get -3/4.
Try it with another set of points: (-4,4) and (4,-2).
deltaY = 4 - -2 = -6
deltaX = 4 - -4 = 8
Divide those, and get -6/8 = -3/4. The answer is the same.
