Answer:
y = (4/5)x - 2
Step-by-step explanation:
First we must find the slope. This is calculated by dividing the difference of the y-coordinates by the difference of the x-coordinates.
Δ y-coordinates: 2 - (-6) = 2 + 6 = 8
Δ x-coordinates: 5 - (-5) = 5 + 5 = 10
slope = m = 8/10 = 4/5
Now, we can write the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
Choose (5, 2) (or you can use (-5, -6); it should get you the same answer) to plug into the equation to solve for b:
y = mx + b
2 = (4/5) * 5 + b
b = 2 - 4 = -2
Thus, our equation is y = (4/5)x - 2.
<em>~ an aesthetics lover</em>
