# How do you find the slope of a line that is parallel to the line y= 1/2x-7?

May 26, 2015

This equation is already in slope-intercept form:

$y = m x + c$

with slope $m = \frac{1}{2}$ and intercept $c = - 7$.

Any line parallel to this line will have the same slope 1/2.

Incidentally, any line perpendicular to it will have slope

$- \frac{1}{m} = - 2$.

May 26, 2015

Your line has slope equal to $\frac{1}{2}$ (which is the coefficient of $x$ in $y = \frac{1}{2} x - 7$).
The line parallel to your line must have the same slope, i.e., $\frac{1}{2}$
Remember that parallel lines have the same slope.