Answer:
the desired equation is y = 2x - 6
Step-by-step explanation:
Moving from the point (-6, -18) to the point (-1, -8), we see that x increases by 5 (this is the 'run'). At the same time, y increases by 10 ("rise"). Thus, the slope of the line connecting these two points is m = rise / run = 10/5 = 2
Now use the slope-intercept form of the equation of a straight line: y = mx + b. Using the point (-1, -8), we substitute -1 for x and -8 for y, along with 2 for m. Then:
-8 = 2(-1) + b. We must find b. Adding 2 to both sides yields -6 = b.
Thus, the desired equation is y = 2x - 6.
