# How do you find the x and y intercepts for 3x + 2y = 10?

Mar 27, 2018

The x-intercept is at $\left(\frac{10}{3} , 0\right)$, and the y-intercept is at $\left(0 , 5\right)$

#### Explanation:

The x-intercept is where $y = 0$, and the y-intercept is where $x = 0$.
X-intercept
$3 x + 2 \left(0\right) = 10$
$3 x = 10$
$x = \frac{10}{3}$
x-intercept = $\left(\frac{10}{3} , 0\right)$
Y-intercept
$3 \left(0\right) + 2 y = 10$
$2 y = 10$
$y = 5$
y-intercept = $\left(0 , 5\right)$