# How do you determine the slope of the line passing through (5,-6) and (3,-6)?

Mar 15, 2018

The slope is zero. The line is the line
$y = - 6$

#### Explanation:

Slope:

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

Where,

• ${y}_{2} = - 6$, ${y}_{1} = - 6$
• ${x}_{2} = 3$, ${x}_{1} = 5$

The result is $0$.

Because both $y$ values are $- 6$, the line must pass through this value, and zero slope means it is parallel to the $x$-axis.