# How do you find the x intercept for the line 5x-3y=4?

Nov 4, 2016

$\left(\frac{4}{5} , 0\right)$

#### Explanation:

The x-intercept is the point where the graph crosses the x-axis. Take note that at the x-axis, the value of $y$ is 0.

So, to find the x-intercept, we will simply set $y$ to $0$, then solve for the value of $x$.

$\left[1\right] \text{ } 5 x - 3 y = 4$

Let $y = 0$.

$\left[2\right] \text{ } 5 x - 3 \left(0\right) = 4$

$\left[3\right] \text{ } 5 x = 4$

$\left[4\right] \text{ } x = \frac{4}{5}$

So now we know that the value of $x$ when the graph crosses the x-axis is $\frac{4}{5}$.

The x-intercept would then be the point $\left(\frac{4}{5} , 0\right)$