Question

What is the slope any line perpendicular to the line passing through `(-3,1)` and `(5,12)`?

Answer 1

Slope of the perpendicular line is `-8/11`

Explanation:

Slope of the line passing through `(-3,1) and (5,12)` is

`m= (y_2-y_1)/(x_2-x_1)= ( 12-1)/(5+3) = 11/8`

The product of slope of perpendicular lines is `=-1`

`:. m*m_1=-1 or m_1= -1/m = -1/(11/8)= -8/11`

Slope of the perpendicular line is `-8/11` [Ans]