# How do you graph using the intercepts for  -10x+7y=-25?

Aug 13, 2018

To graph the line, simply connect the intercepts $\left(\frac{5}{2} , 0\right)$ and $\left(0 , - \frac{25}{7}\right)$.

#### Explanation:

The x-intercept is the point at which the y-coordinate is $0$.

The y-intercept is the point at which the x-coordinate is $0$.

Substitute $\textcolor{red}{y = 0}$ to find the x-intercept.

$- 10 x + 7 \left(\textcolor{red}{0}\right) = - 25$

$- 10 x = - 25$

$x = \frac{5}{2}$

Therefore the x-intercept is $\left(\frac{5}{2} , \textcolor{red}{0}\right)$.

Substitue $\textcolor{red}{x = 0}$ to find the y-intercept.

$- 10 \left(\textcolor{red}{0}\right) + 7 y = - 25$

$7 y = - 25$

$y = - \frac{25}{7}$

Therefore the y-intercept is $\left(\textcolor{red}{0} , - \frac{25}{7}\right)$.

To graph the line, simply connect the two points.