# How do you find the x and y intercept of 3x+0.5y=6?

Nov 7, 2016

The $y$ intercept is 12 and the $x$ intercept is 2.

#### Explanation:

To find the $y$ intercept solve for $x = 0$:
$3 \cdot 0 + 0.5 y = 6$

$0.5 y = 6$

$\frac{0.5 y}{0.5} = \frac{6}{0.5}$

$y = 12$

To find the $x$ intercept solve for $y = 0$:

$3 x + 0.5 \cdot 0 = 6$

$3 x = 6$

$\frac{3 x}{3} = \frac{6}{3}$

$x = 2$