Question

What is the slope of any line perpendicular to the line passing through `(-13,9)` and `(-4,12)`?

Answer 1

The slope of any line pependicular to the line passing
through `(-13,9) and (-4,12)` is `-3`

Explanation:

The slope of the line passing through `(-13,9) and (-4,12)` is

`m_1= (y_2-y_1)/(x_2-x_1)= (12-9)/(-4+13)=3/9=1/3`

The product of slopes of the pependicular lines is `m_1*m_2=-1`

`:.m_2=-1/m_1= -1/(1/3)=-3`

Therefore ,the slope of any line pependicular to the line passing

through `(-13,9) and (-4,12)` is `-3` [Ans]