Answer:
y = -3/4x - 1/2
Explanation:
Given:
Point 1: (1, -4)
Point 2: (3, -5)
Find:
The equation for the line that passes through Point 1 & Point 2
Solution:
y = mx + b
Will be the equation to arrive to at the very end, but we need m & b, the slope and the y-intercept
m = ( y2 - y1 ) / ( x2 - x1 ) = ( -5 - (-4) ) / ( 3 - 1 ) = -1 / 2
∴ m = - 1/2
Using either P1 or P2, plug in one of their respective x- and y-values into:
y = -1/2 x + b
I'll do (3, -5):
-5 = -1/2 ( 3 ) + b
-2 = -3/2 + b
-4 = -3 + 2b
-1 = 2b
∴ b = -1/2
∴ y = -3/4x - 1/2 is the equation of the line that passes thru both points (-5, 4) and (3, -2)