Question

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

Answer 1

Hint: 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.