What is the slope of a line parallel to the line whose equation is 2x−y=7. Fully reduce your answer.

Answer 1

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

Parallel line always have the same slope. So, if we find the slope of 2x - y = 7, we will have the slope of any line parallel to it.

To find the slope, put the equation into the form y = mx + b and the "m" will be the slope.

2x - y = 7

2x = y + 7

2x - 7 = y

y = 2x - 7

So the slope of this line, and any line parallel to it, is 2

Answer 3

Parallel lines have the same slope.

Putting the equation 2x - y = 7, we get y = 2x - 7. So, the slope is 2.