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

1 Answer
Jan 13, 2017

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:

$y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and color(blue)(b is the y-intercept value.

$y = \textcolor{red}{3} x + \textcolor{b l u e}{7}$

$y = \textcolor{red}{3} x - \textcolor{b l u e}{8}$

Both of these equations have the same slope of $\textcolor{red}{m = 3}$

Therefore these two lines are parallel.