How do you find the slope of a line perpendicular to a slope 0?

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How do you find the slope of a line perpendicular to a slope 0?

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Answer 1 · 2018-05-09T06:02:13

It will of the type $x = k$ $x=k$ .

Explanation:

This appears to be a bit complicated as normally we say that if slope of a line is $m$ $m$ , slope of line perpendicular to it is $- \frac{1}{m}$ $-1/m$ , which means just take the reciprocal and change the sign.

For example if slope of a line is $\frac{3}{7}$ $3/7$ , line perpendicular to it will have a slope of $- \frac{7}{3}$ $-7/3$ . And if slope of a line is $- 2$ $-2$ , slope of line perpendicular to it will be $\frac{1}{2}$ $1/2$ .

What do we do if we have to find the slope of a line perpendicular to a line of slope $0$ $0$ ? The problem is $\frac{1}{0}$ $1/0$ is not defined.

Way out is even simpler. As equation of a line whose slope is $0$ $0$ is of the type $y = k_{1}$ $y=k_1$ (here $k_{1}$ $k_1$ a constant is $y$ $y$ -intercept - aline parallel to $x$ $x$ -axis),

equation of line perpendicular to it will be $x = k$ $x=k$ , where $k$ $k$ is another constant. Note $k$ $k$ is $x$ $x$ -intercept of the line $x = k$ $x=k$ and this line is vertical i.e. parallel to $y$ $y$ -axis.

Answer 2 · 2018-05-09T06:54:02

The slope of a line perpendicular to a line with a slope of $0$ $0$ is undefined. The perpendicular line is a vertical line.

Explanation:

The slope of a line perpendicular to a line with a slope of $0$ $0$ is undefined. The perpendicular line is a vertical line.

A line with a slope of $0$ $0$ is a horizontal line. A vertical line would be perpendicular to the horizontal line, but the slope of a vertical line is undefined.

For example:

The following points will result in a vertical line because the x-coordinates are the same.

$(2, 3)$ $(2,3)$ and $(2, 4)$ $(2,4)$

$m = \frac{4 - 3}{2 - 2}$ $m=(4-3)/(2-2)$

$m = \frac{1}{0}$ $m=1/0$ , which is undefined.

The points represent a vertical line with an undefined slope.

![https://www.wolframalpha.com/input/?i=Find+the+slope:+(2,3),(2,4)](https://d2jmvrsizmvf4x.cloudfront.net/IqT2KJY3R66DuWshJ1af_gif%26s%3D42)

Answer 3 · 2018-05-09T07:30:51

You cannot find the slope.
You can only say that it will be a vertical line and the slope is undefined.

Explanation:

A line with a slope of $0$ $0$ is a horizontal line.

A line which is perpendicular to a horizontal line is a vertical line.

However, the slope of a vertical line is undefined.

So you cannot find the slope. You can only say that it will be a vertical line and the slope is undefined.

This is because for any change in $y$ $y$ values, there is no change in the $x$ $x$ values.

Slope = $(Delta y)/(Delta x) = y/0$

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How do you find the slope of a line perpendicular to a slope 0?

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