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Write an equation of the line that is perpendicular to the line y = 4x - 10 that passes through the point (-16, 2).

1 Answer

3 votes

Answer:
y=-(1)/(4) x-2

Explanation:

Perpendicular lines have different slopes. There are 2 things we have to do to them.

1. reciprocal

2. change sign

Based on the equation, our slope is 4, so let's apply the 2 rules.

1.
(1)/(4)

2.
-(1)/(4)

With the slope, we can plug in our point.


y=-(1)/(4) x+b [plug in x and y]


2=-(1)/(4) (-16)+b [multiply]


2=4+b [subtract both sides by 4]


b=-2

Our final equation would be
y=-(1)/(4) x-2.

User Orthehelper
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