Question

The lines are perpendicular if the slope of one line is -5 what is the slope of the other line

Answer 1

At first we should know that :

The product of the slope of the perpendicular lines = -1

Which mean if the slope of one of them is m and the slope of the other is m'

So,

`m* m^(\prime)=-1`

Given : the slope of one line is = m = -5

So, the slope of the perpendicular line will be m'

So,

`\begin{gathered} -5\cdot m^(\prime)=-1 \\ \\ m^(\prime)=(-1)/(-5)=(1)/(5) \end{gathered}`

So, the answer is : the slope of the other line = 1/5