Question

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

Answer 1

Answer:

The slope of the line perpendicular to the given line is = $-\frac{1}{4}$

Step-by-step 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 :

$m_1=-\frac{1}{m_2}$

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:

$m_1=-\frac{1}{4}$