# What are the intercepts of 19x+6y=-17?

Apr 2, 2018

The y-intercept of the equation $19 x + 6 y = - 17$ is $- \frac{17}{6}$ and the x-intercept is $- \frac{17}{19}$.

#### Explanation:

To get the y-intercept of a linear equation, substitute $0$ for $x$.
$19 \cdot 0 + 6 y = - 17$
$6 y = - 17$
$y = - \frac{17}{6}$
The y-intercept is $- \frac{17}{6}$.

To get the x-intercept of a linear equation, substitue $0$ for $y$.
$19 x + 6 \cdot 0 = - 17$
$19 x = - 17$
$x = - \frac{17}{19}$
The x-intercept is $- \frac{17}{19}$.