Answer:
y = (5/2)x - 6
Step-by-step explanation:
We need to use slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Slope is the change in y divided by the change in x. Given the two points, we can find the difference in the y-coordinates and divide that by the difference in the x-coordinates:
m = (-11 - (-1)) / (-2 - 2) = -10 / (-4) = 5/2
Now, we have:
y = (5/2)x + b
Substitute one of the given points for x and y to solve for b:
-1 = (5/2) * 2 + b
-1 = 5 + b
b = -1 - 5 = -6
The answer is y = (5/2)x - 6.
