# What is the slope of the line through (-4,-6) and (9,-6)?

Apr 15, 2015
• The Y-coordinates of the two points are the same.
It means that the line will be Parallel to the X Axis . A line parallel to the X axis (a horizontal line) has a Slope of Zero (No Steepness, No Inclination)

If we have to provide an explanation with numbers, here is how it would look:

• color(green)(Slope= (Rise)/(Run)

The $R i s e$ is the Difference of the Y coordinates of any two points on the line
And the $R u n$ is the Difference of the X coordinates of those two points

• If the coordinates of the points are $\left({x}_{1} , {y}_{1}\right) \mathmr{and} \left({x}_{2} , {y}_{2}\right)$, then $\left[S l o p e\right] \left(h \texttt{p} : / s o c r a t i c . \mathmr{and} \frac{g}{a} l \ge b r \frac{a}{g} r a p h s - o f - l \in e a r - e q u a t i o n s - \mathmr{and} - f u n c t i o n \frac{s}{s} l o p e\right) = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
Here, the coordinates are $\left(- 4 , - 6\right)$ and $\left(9 , - 6\right)$

$S l o p e = \frac{- 6 - \left(- 6\right)}{9 - \left(- 4\right)} = \frac{0}{13} = 0$

The slope of the line passing through points $\left(- 4 , - 6\right)$ and $\left(9 , - 6\right)$ is color(green)(0