Question

If the slope of one line is 7/8, what is the slope of the line that is perpendicular to it?88/71/7-1/8-8/7

Answer 1

Given:

Slope of the line 7/8

Slope of the perpendicular line is:

The multiplication of both line should be equal to -1

that mean:

$m_1m_2=-1$

Where m1 and m2 slopes of perpendicular line:

that mean:

$m_1=\frac{7}{8}$

Then slope of perpendicular line is:

$\begin{gathered} m_1m_2=-1 \\ m_2=-\frac{1}{m_1} \\ m_2=-\frac{1}{\frac{7}{8}} \\ m_2=-\frac{8}{7} \end{gathered}$

So slope of perpendicular line is -8/7