# Question #5aa63

Oct 6, 2016

$\left(1 , 0\right)$

#### Explanation:

An $x$-intercept occurs at any point $\left(x , 0\right)$, that is, any point where $y = 0$.

If we simplify the given equation:

$x - \frac{4}{3} x = - \frac{1}{3}$

$\implies - \frac{1}{3} x = - \frac{1}{3}$

$\implies x = 1$

we find that the graph is the locus of points such that $x = 1$, i.e. points of the form $\left(1 , y\right)$. As there is one point on that graph at which $y = 0$, we have a single $x$-intercept at $\left(1 , 0\right)$.

graph{10000(x-1) [-1, 3, -3, 3]}