What is the slope of a line parallel to the line y=1/3x+2?

Jun 1, 2015

Any linear equation of the form
$y = m x + b$ has a slope of $m$

$y = \left(\frac{1}{3}\right) x + 2$ is of this form and therefore has a slope of $\left(\frac{1}{3}\right)$.

All parallel lines have the same slope.

Any line parallel to $y = \frac{1}{3} x + 2$ has a slope of $\left(\frac{1}{3}\right)$

Jun 1, 2015

Your line has slope $m = \frac{1}{3}$, which is the numerical coefficient of $x$.
The parallel line must have the same slope. i.e., $\frac{1}{3}$.