If a line has a slope of $$ -4 $$, what is the slope of a line that is perpendicular to it?

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To find the slope of a line that is perpendicular to another line, we use the property that the slopes of two perpendicular lines are negative reciprocals of each other.

Given that the slope of the original line is $$ m = -4 $$, the slope of the line that is perpendicular to it, denoted as $$ m_{\perp} $$, can be calculated using the formula:

$$
m_{\perp} = -\frac{1}{m}
$$

Substituting the value of $$ m $$:

$$
m_{\perp} = -\frac{1}{-4} = \frac{1}{4}
$$

Thus, the slope of the line that is perpendicular to the line with a slope of $$ -4 $$ is $$ \frac{1}{4} $$.
The slope of the perpendicular line is $$ \frac{1}{4} $$.

If a line has a slope of , what is the slope of a line that is perpendicular to it?

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