Question

Slope of a line perpendicular to y equals 4x - 6

Answer 1

The slope of the line perpendicular to the given line is =
`-(1)/(4)`

Explanation:

Given equation of line:

`y=4x-6`

To find slope of the line perpendicular to the given line.

Solution:

For two line which are perpendicular to to each other is related as :

`m_1=-(1)/(m_2)`

where
`m_1` and
`m_2` are the slopes of the line.

The slope of the line given can be determined by comparing it with the standard slope intercept equation which is
`y=mx+b` where
`m` represents slope of the line.

Thus, the slope of the given line = 4 as slope is the co-efficient of
`x` in the equation.

Thus, the slope of the line perpendicular will be given as:

`m_1=-(1)/(4)`