# How do you find the slope of a line parallel to Y=-1/2x+1?

Jul 1, 2016

The slope the parallel line is ${m}_{2} = - \frac{1}{2}$

#### Explanation:

Two lines are parallel if their slopes are equal.

If ${m}_{1}$ is the slope of the 1st line and ${m}_{2}$ is the slope of the 2nd line, then for both the lines to be parallel ${m}_{1} = {m}_{2}$

In the Problem, the given line is -

$y = - \frac{1}{2} x + 1$

Its slope ${m}_{1} = - \frac{1}{2}$

The other line is parallel, hence its slope ${m}_{2} = {m}_{1}$

The slope the parallel line is ${m}_{2} = - \frac{1}{2}$