Question

What is the slope of a line perpendicular to the line whose equation is

2x−y=−6. Fully simplify your answer.

Answer 1

2

Explanation:

Lines that are parallel have the same slope, so all lines parallel to the one given have the same slope as it does. That slope value is most easily seen by transforming the given equation to slope-intercept form

(y = mx + b).

This line would be y = 2x -7, so the slope of any line parallel to it must have a slope value of 2

Answer 2

The slope of the perpendicular line is -1/2.


This is because the slope of 2x-y=-6 is 2.

The negative reciprocal of 2 is -1/2 which is the slope of the line that perpendicular to 2x-y=-6 :))