Question

Need help doing this, show steps if you could.

Answer 1

option 1

Explanation:

first we have to find the slopes of the lines

D(1, -2) E(3, 4)

y = m*x + b

m1: slope

m1 = (y2-y1) / (x2-x1)

m1 = (4 - (-2)) / (3 - 1)

m1 = 4+2 / 3-1

m1 = 6 / 2

m1 = 3

we do the same with the other 2 points

D(-1, 2) E(4, 0)

y = m*x + b

m2: slope

m2 = (y2-y1) / (x2-x1)

m2 = (0 - 2) / (4 - (-1))

m2 = -2 / 4 + 1

m2 = -2 / 5

m1 = 3 m2 = -2/5

for 2 lines to be perpendicular it must be met

m1 * m2 = -1

we check if they are perpendicular

3 * -2/5 = -1

-6/5 = -1 <-- no perpendicular