# How do you find the x and y intercepts for 3x – 2y = 15?

Mar 2, 2018

The $y$-intercept is $\left(0 , - \frac{15}{2}\right)$ and the $x$-intercept is (5,0).

#### Explanation:

Set one variable to zero and solve for the other.

Setting $x = 0$ will give the $y$-intercept:
$3 \left(0\right) - 2 y = 15$
$- 2 y = 15$
$y = - \frac{15}{2}$

Setting $y = 0$ will give the $x$-intercept:
$3 x - 2 \left(0\right) = 15$
$3 x = 15$
$x = 5$

Hence, the $y$-intercept is $\left(0 , - \frac{15}{2}\right)$ and the $x$-intercept is (5,0).