Question

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

Answer 1

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`.