# How do you find the slope and intercept of x = - 2/5 ?

Jun 8, 2017

This is an equation for a vertical line where for each and every value of $y$, $x$ is equal to $- \frac{2}{5}$.

By definition the slope of a vertical line is undefined.

Also, because $x$ is always $- \frac{2}{5}$ for every value of $y$, $x$ is never equal to $0$ therefore there is no $y$ intercept.

Jun 8, 2017

Undefined slope; $x$-intercept: $\left(- \frac{2}{5} , 0\right)$

#### Explanation:

The line $x =$ indicates that the line is vertical crossing through the $x$-axis. The slope of a vertical line is always undefined because if you did try to find the slope of this line via the slope formula, you would find that the denominator would be $0$ so it's undefined. Additionally, since the line is vertical, it only crosses the $x$-axis and not the $y$ so the $x$-intercept is the line $x = - \frac{2}{5}$