# How do you find the x- and y-intercepts of -6x-2y=3?

Dec 13, 2016

The x-intercept is $x = - \frac{1}{2}$ or $\left(- \frac{1}{2} , 0\right)$

The y-intercept is $y = - \frac{3}{2}$ or $\left(0 , - \frac{3}{2}\right)$

#### Explanation:

To find the $x$ intercept for this line substitute $0$ for $y$ and solve for $x$:

$- 6 x - \left(2 \cdot 0\right) = 3$

$- 6 x - 0 = 3$

$- 6 x = 3$

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

$\frac{\cancel{- 6} x}{\cancel{- 6}} = - \frac{1}{2}$

$x = - \frac{1}{2}$

To find the $y$ intercept for this line substitute $0$ for $x$ and solve for $y$:

$\left(- 6 \cdot 0\right) - 2 y = 3$

$0 - 2 y = 3$

$- 2 y = 3$

$\frac{- 2 y}{-} 2 = \frac{3}{-} 2$

$\frac{\cancel{- 2} y}{\cancel{- 2}} = - \frac{3}{2}$

$y = - \frac{3}{2}$