Answer:
y=2x+2
Step-by-step explanation:
The y-intercept, or b, is 2 because the line intersects on the y-axis at (0,2)
To figure out slope, or m, it is the change in y over the change in x or rise over run.
You subtract the y-coordinates
-6-6 = -12
Then you subtract the x-coordinates
-4-2 = -6
You divide the two (the change in y over the change in x)
-12/-6 = 2
Your slope, or m, is 2 or 2/1
You then plug the slope and y-intercept into slope-intercept form (y=mx+b) to receive
y=2x+2 or y=(2/1)x+2