# What are the intercepts of : 7y= - x + 2?

Apr 11, 2018

The x-intercept is at $\left(2 , 0\right)$
The y-intercept is at $\left(0 , \frac{2}{7}\right)$

#### Explanation:

The x-intercept is the point where $y = 0$. To find $x$, solve the equation
$7 \left(0\right) = - x + 2$
$0 = - x + 2$
$x = 2$
The x-intercept is at $\left(2 , 0\right)$

The y-intercept is the point where $x = 0$. To find $y$, solve the equation
$7 y = - \left(0\right) + 2$
$7 y = 2$
$y = \frac{2}{7}$
The y-intercept is at $\left(0 , \frac{2}{7}\right)$