# How do you find the slope of a line parallel to x = 4y +7?

Oct 5, 2016

The slope of the parallel line is $\frac{1}{4}$

#### Explanation:

Two lines are parallel if they have same slope.
To find the slope of the parallel line to the given line we have to check the slope of the given one.
We have

$x = 4 y + 7$
$x - 7 = 4 y$
$\frac{x}{4} - \frac{7}{4} = y$

The slope of the given line is $\frac{1}{4}$
Therefore, the slope of the parallel line is $\frac{1}{4}$.