How do you find the slope and intercept of 5x-2=0?

Dec 27, 2015

The slope of $\left(5 x - 2 = 0\right)$ is undefined.
It has an x-intercept at $x = \frac{2}{5}$.
It does not have a y-intercept.

Explanation:

$5 x - 2 = 0$ is the equation of a vertical line.
It could also be written as $x = \frac{2}{5}$

Slope is defined as the change in $y$ divided by a corresponding change in $x$
...but since $x$ is a constant, the change in $x$ is always $0$
so any attempt to calculate the slope results in an attempt to divide by $0$.

$5 x - 2 = 0$ crosses the X-axis at $x = \frac{2}{5}$ (the x-intercept)
but it does not cross the Y-axis (there is no y-intercept).