# How do you find the slope of a line parallel to the graph of each equation y=6?

May 9, 2016

$m = 0$

#### Explanation:

Parallel lines have the same slope.
The line parallel to $y = 6$ will have the same slope as the given equation.

$m = \frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}}$

For the given equation, $y = 6$, any value of $x$ would yield the same value for $y$ (which is 6).

Hence we have

$m = \frac{6 - 6}{1 - 2}$

$\implies m = \frac{0}{-} 1 = 0$