Answer:
y = (7/4)x - 3/4
Step-by-step explanation:
I'll assume that two points taken from your table are (-3, -6) and (1, 1).
As we move from the first to the second, x increases by 4 units ("run") and y increases by 7 units ("rise"). Thus the slope of the line connecting these two points is m = rise / run = 7/4.
Let's begin with the familiar y = mx + b. Substituting 1 for x and 1 for y and 7/4 for m, we get:
1 = (7/4)(1) + b, or 1 - 7/4 = b, or b = -3/4.
Then the desired equation, in slope-intercept form, is
y = (7/4)x - 3/4
