Answer:
y = x - 3
Explanation:
Use the slope formula for to find the slope first:
= y^2 - y^1 / x^2 - x^1
= -8 - 2 / -5 - 5
= -10 / -10
= 1
m = 1
Now, let's find the y-intercept of the slop line:
y = mx + b
2 = 1(5) + b
2 = 5 + b
-5 -5
----------------
-3 = b
So, the equation of the line passing the points ( 5, 2) and (-5, -8) is y = 1x - 3