# What are the intercepts of -10x-9y=25?

Mar 8, 2016

The intercepts are:

$x$ -intercept $\left(- \frac{5}{2} , 0\right)$

$y$ intercept $\left(0 , \frac{25}{9}\right)$

#### Explanation:

Note: There are two type of intercepts , the $x$ and $y$

a) $x$ intercept, is when $y = 0$

b) $y$ intercept, is when $x = 0$ .

$- - - - - - - - - - - - - -$

To find the intercepts of $- 10 x - 9 y = 25$

1) Let's find $x$ intercept, $y = 0$

$- 10 x - 9 \left(0\right) = 25$

$- 10 x = 25 \text{ }$ then solve for x

$x = - \frac{25}{10} = - \frac{5}{2}$

x-intercepts $\left(- \frac{5}{2} , 0\right)$

2) Let's find $y$ intercept, $x = 0$

$- 10 \left(0\right) - 9 y = 25$

$- 9 y = - 25$

$y = \frac{25}{9}$

$y$ intercept $\left(0 , \frac{25}{9}\right)$