Question

What is the slope of the line that is parallel with `y=-2x+1`?

Answer 1

`m = -2`

Explanation:

Because this equation is already in slope-intercept form we can take the slope directly from this equation.

The slope-intercept form of a linear equation is:

`y = color(red)(m)x + color(blue)(b)`

Where `color(red)(m)` is the slope and `color(blue)(b` is the y-intercept value.

Therefore, for the equation in this problem the slope is:

`color(red)(m = -2)`

Because a line parallel to this line will have, by definition the same slope, the slope of a parallel line will also be:

`color(red)(m = -2)`