Question

How do you find the slope that is perpendicular to the line `x - 2y = 7`?

Answer 1

The slope of the line perpendicular to the given straight line is -2

Explanation:

Two striaght line are perpendicular if the product of their slopes is -1 
Given the equation of the straight line 
`x−2y=7`
`-2y=7−x`
`y=(-x)/(-2)+7/(-2)`
`y=x/2-7/2`
The slope of the given straight line is a=1/2 , the slope of the line perpendicular line a':

`a⋅a'=−1`
`(1/2)*a'=−1`
`a'=−2`