First line has equation 2x-5y=8 and second line passes (1,4) and (-1,-1). Are the lines parallel, perpendicular or neither

Question

Please help solve. Show work.

Answer 1

In order to answer the question, you need to find the slope of both lines.

2x - 5y = 8

-5y = -2x + 8

y = (2/5)x - 8/5     slope = 2/5

 

m = y₂ - y₁ 

       x₂ - x₁

m = (-1-4)/(-1 - 1)

m = -5/-2 = 5/2

Since the slopes are not negative reciprocals of each other or equal to each other, the lines are neither.