Question

Find the slope of a line parallel and perpendicular to each given line.
Y=-1/2x-5

Answer 1

`-(1)/(2)`

& 2

Explanation:

The given line is
`y= -(1)/(2) x -5`

The given equation is in slope intercept form.

So, the slope of the given line is
`-(1)/(2)`

Therefore, the slope of a parallel line to the given line will also be
`-(1)/(2)`. {Since slope of two parallel lines are the same}

Now, the slope of a line that is perpendicular to the given line will be 2.

{Simce, the product of slopes of two perpendicular straight lines is -1} (Answer)