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=(7)/(8)`

Then slope of perpendicular line is:

`\begin{gathered} m_1m_2=-1 \\ m_2=-(1)/(m_1) \\ m_2=-(1)/((7)/(8)) \\ m_2=-(8)/(7) \end{gathered}`

So slope of perpendicular line is -8/7