Question

What is the slope of a line perpendicular to the line whose equation is x-2y=-8 Fully simplify your answer.

Answer 1

`-2`

Explanation:

The perpendicular slope is the opposite of the reciprocal of the original slope. So, let's find the slope of this line! I will put it in slope-intercept form (y = )

`x-2y=-8\\-2y=-8-x\\y=4+(1)/(2) x\\y=(1)/(2) x+4`

Here, I see that the slope of the line is
`(1)/(2)`. The reciprocal of
`(1)/(2)` is 2. The opposite of 2 is
`-2`. The slope of the perpendicular line is
`-2`!