Find the equation of the line passing through the points (18,-27) and (-45,50).

Answer 1

slope of the line = change in y coordinates divided by change in x coordinates

= "rise over run" = (50+27)/(-45-18) = 77/-63

= -11/9 = (y+27)/(x-18)

cross multiply

9(y+27) = -11(x-18)

9y + 243 = -11x +198

11x +9y = -45 the equation in standard form

check the answer, plug in each point

11(18) +9(-27) = 198 - 243 =-45

11(-45) +9(50 = -495 +450 = -45