# How do you find the x and y intercepts of 2y-5=0?

Mar 21, 2017

y-intercept = $\frac{5}{2}$

#### Explanation:

By definition, the y-intercept is where the graph crosses the y-axis.

We can re-arrage the equation like this:

$2 y - 5 = 0$

$\implies 2 y = 5$

$\implies y = \frac{5}{2}$

This, therefore, is the equation of a line which always satisfies $y = \frac{5}{2}$. This can be graphed as follows:

graph{0x+5/2 [-10, 10, -5, 5]}

As you can see, the graph crosses the y-axis at $\frac{5}{2}$. Therefore, this is the y-intercept.

On the other hand, the graph never crosses the x-axis. Therefore, the x-intercept does not exist.