Answer:
y = -(2/5)x -1/5
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
and line equation is y = mx +b, where m is slope and b is y intercept value when x = 0.
Given:
point1 = (-3, 1) and point2 = (2, -1)
We can find the slope as m = (1+1)/(-3-2) => 2/-5 => -(2/5)
y = -(2/5)x + b
Now use one of the point to find b.
1 = -(2/5)(-3) + b => 1 = 6/5 + b => 1-6/5 =b
b= -1/5
Therefore, the final equation for the line is
y = -(2/5)x -1/5
