# How do you find the slope and y intercept for: x=-2?

Oct 22, 2015

The slope is "undefined"
There is no y-intercept

#### Explanation:

$x = - 2$ is a vertical line

slope is defined as $\frac{\Delta y}{\Delta x}$
but since the value of $x$ does not change, $\Delta x = 0$
and any attempt to evaluate the slope is an attempt to divide by $0$

This line does not cross the Y-axis
and therefore there is no y-intercept.

graph{x=-2+0.000000001*y [-10, 10, -5, 5]}