Which statement best explains the relationship between lines FG and HJ?
V
2
х
O They are perpendicular because their slopes are
equal
They are perpendicular because their slopes are
negative reciprocals.
O They are not perpendicular because their slopes are
equal.
They are not perpendicular because their slopes are
not negative reciprocals.

They are not perpendicular because their slopes are  not negative reciprocals.

Step-by-step explanation:

For these two lines to be perpendicular, their slopes have to be negative reciprocals.

Slope of FG.

F = (-4, 1)

G = (0, -2)

= (Y₂ - Y₁) / (X₂ - X₁)

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

= -3/4

Slope of HJ

J = (0 , 4)

H = (-4, -2)

Slope =  (Y₂ - Y₁) / (X₂ - X₁)

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

= 6/4

= 3/2

The slopes of these lines are not negative reciprocals so these lines are not perpendicular.

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