Question

Are `y=3x+7` and `y=3x-8` parallel to each other?

Answer 1

Yes, they are parallel to each other. See full explanation of why below.

Explanation:

Two lines are parallel if they have the same slope.

You can find the slope of a line using the slope-intercept form of the equation which these two equations are already in.

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.

`y = color(red)(3)x + color(blue)(7)`

`y = color(red)(3)x - color(blue)(8)`

Both of these equations have the same slope of `color(red)(m = 3)`

Therefore these two lines are parallel.