# How do you find the x and y intercept of 5x-3y=15?

Jan 29, 2017

The $x -$intercept is $\left(3 , 0\right)$
The $y -$intercept is $\left(0 , 5\right)$

#### Explanation:

The $x$ and $y$ intercepts of of a linear equation can be found by plugging $0$ in for each variable and finding the solution for the other variable.

The $x$- intercept is found where $y = 0$
The $y$- intercept is found where $x = 0$

Solve for each independently.

$5 x - 3 y = 15$

$5 x - 3 \left(0\right) = 15$

$5 x = 15$

$\frac{\cancel{5} x}{\cancel{5}} = \frac{15}{5}$

$x = 3$

The $x -$intercept is $\left(3 , 0\right)$

$5 x - 3 y = 15$

$5 \left(0\right) - 3 y = 15$

$3 y = 15$

$\frac{\cancel{3} y}{\cancel{3}} = \frac{15}{3}$

$y = 5$

The $y -$intercept is $\left(0 , 5\right)$