Answer
3x+2y = 4
Work Step by Step
The line contains(-2,5) and (2,-1)
To find the equation of the line.
To use the point slope form, we need to find the slope of the line using (-2,5) and (2,-1)
m = $\frac{y2-y1}{x2-x1}$ = $\frac{-1-5}{2+2}$ =$\frac{-6}{4}$ =$\frac{-3}{2}$
then, y-y1 = m(x-x1)
y-5 =$\frac{-3}{2}$ (x-(-2))
y-5 = $\frac{-3}{2}$ (x+2)
2(y-5) = -3(x+2)
2y - 10 = -3x - 6
3x+2y = 10-6
3x+2y = 4
