Question

What is the equation of the line that passes through `(9,1)` and is perpendicular to the line that passes through the following points: `(7,-3),(6,3)`?

Answer 1

`y=1/6*x-1/2`

Explanation:

The slope of the line passing through (7,-3) , (6,3) is `(3+3)/(6-7)=-6`
So the slope of the perpendicular line passing through (9,1) is `1/6` since the product of slopes of perpendicular lines is -1. Hence the equation of the line passes through (9,1) is `y-1=1/6(x-9)`or `y=1/6*x-1/2` {answer]