Answer:
option 1
Step-by-step 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
