# How do you find the intercepts for 6x - 3y = -10?

Aug 3, 2015

x-intercept $= - \frac{5}{3}$$\textcolor{w h i t e}{\text{XXXX}}$y-intercept $= \frac{10}{3}$

#### Explanation:

The x-intercept is the value of $x$ when $y = 0$ (that is it is the value where the equation crosses the X-axis and along the X-axis, $y - 0$)
If $y = 0$ the equation becomes
$\textcolor{w h i t e}{\text{XXXX}}$$6 x - 3 \left(0\right) = - 10$
$\rightarrow$$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$$x = - \frac{10}{6} = - \frac{5}{3}$

Similarly for $y$