Respuesta :

Answer: D

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other

The slope of this line is -1/4, the reciprocal is just the flipped fraction which is -4/1 or 4. Since it is a negative reciprocal you multiply it by -1. 2 negatives multiplied equals a positive so the slope of the perpendicular line is 4

D.4

y=mx + c ....(1)general line eqn)

y=-(1/4x) - 9 .....(2)


Comparing (1) and (2)

m=-1/4

Since both lines are

perpendicular

M=-1/m

Where M=gradient of other line

M=-1/(-1/4)

= -1 x - 4/1

=4
Therefore the gradient of the

other line is 4
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