Answer:
y = 1/3 x - 2
Explanation:
Start with the slope-intercept form of the equation of a line.
y = mx + b
b is the y-intercept. That is the y-coordinate of the point of intersection of the line and the y-axis. In this case, that point is (0, -2), so b = -2.
Now we have
y = mx - 2
m is the slope. We look at the two points on the line that are given. Start at (0, -2). Slope = m = rise/run. We go from point (0, -2) to point (3, -1). We start by going 1 unit up. That is a rise of 1. rise = 1. Now we go 3 units to the right. That is a run of 3. run = 3.
m = rise/run = 1/3
Now we substitute 1/3 for m in the last equation we have above.
y = 1/3 x - 2