# How do you find the slope given x = -3?

Jul 29, 2015

The slope is indeterminate.

#### Explanation:

Your line is perfectly vertical. Every time you choose a value for $y$ the value of $x$ is ALWAYS $- 3$.
From the definition of slope you have:
Slope$= \frac{\Delta y}{\Delta x}$
Let us choose two values of $y$:
$y = 5 \mathmr{and} y = 10$ the corresponding $x$ will be $- 3 \mathmr{and} - 3$ so:
Slope$= \frac{10 - 5}{- 3 + 3} = \frac{5}{0}$ that cannot be evaluated.