Answer:
y = 5x - 3
Step-by-step explanation:
As we move from the point (-2, -13) to the point (1, 2), we see the x-value (the 'run') increasing by 3 and the y-value (the 'rise') increasing by 15. Therefore the slope of the line passing thru these two points is m = rise / run = 15/3, or m = 5.
Using the slope-intercept formyula y = mx + b, we find the y-intercept as follows, using 1 for x, 2 for y and 5 for m:
2 = 5(1) + b, or
b = -3
Then the desired equation is
y = 5x - 3
