Question

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

Answer 1

Here, we will use the condition of perpendicular lines to find the slope of a line perpendicular to the given line with the given slope. A slope is defined as the ratio of change in the $y$ axis to the change in the $x$ axis.

Formula Used:
Slope of Perpendicular lines ${m_1}{m_2} = - 1$

Complete step by step solution:
We are given that the line has a slope of 0.
If the slope of the line is 0, then the line is a Horizontal line.
Now, we will find the slope of a line that is perpendicular to the line with a slope of 0.
We know that the Slope of Perpendicular lines ${m_1}{m_2} = - 1$
$\Rightarrow$ Slope of a line ${m_2} = \dfrac{1}{{{m_1}}}$
$\Rightarrow$ Slope of a line ${m_2} = \dfrac{1}{0}$
The slope of a line that is perpendicular to a line with slope 0 is not defined.

Therefore, the slope of a line that is perpendicular to a line with slope 0 is not defined.

Note:
We know that the slope can be represented in the parametric form and in the point form. A point crossing the $x$-axis, is called $x$-intercept and the point crossing the $y$-axis is called the $y$-intercept. The slope of a line is used to calculate the steepness of a line. We know that the Slope of a line is used to find the equation of a line. If the slope of the line is 0, then the line is a Horizontal line and if the slope of the line is not defined, then the line is a Vertical line.