Question

What is the slope of a line that is perpendicular to the line represented by the equation 2x−5=−y?

Answer 1

Answer:

$\frac{1}{2}$

Step-by-step explanation:

First, you need to get the equation into y = mx + b form, like this:

Add y to both sides to get y + 2x − 5= 0

Then subtract 2x to get y - 5 = -2x

Add 5 to get y = -2x + 5

Now we know the slope is -2, or -2/1.

A line that is perpendicular to it has a slope that is the first line's slope's opposite reciprocal. This means flip the fraction upside down and change the sign, which gives you positive 1/2.