Find an equation for the line that passes through the points (-4,5) and (5,-1)

Answer 1

2x + 3y =7 has two points (-4,5) and (5,-1)

slope is ((5+1)/(-4-5) = 6/-9 = - 2/3

(y-5)/(x+4) = -2/3

3y -15 =-2x -8

3y +2x = 7

plug in either point and check the solution

3(5) +2(-4) = 7

15 - 8 = 7

3(-1) +2(5) = 7

-3 +10 = 7