# How do you find the slope and intercept of 2x-5y= -10?

Jul 25, 2016

$x$-intercept is $x = - 5$

$y$-intercept is $y = 2$

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

#### Explanation:

$2 x - 5 y = - 10$
$x$-intercept is when $y = 0$
So by putting $y = 0$ in the above equation we get
$2 x - 5 \left(0\right) = - 10$
or
$2 x - 0 = - 10$
or
$2 x = - 10$
or
$x = - \frac{10}{2}$
or
$x = - 5$ --------------Ans $1$

$y$-intercept is when $x = 0$
So by putting $x = 0$ in the equation $2 x - 5 y = - 10$ we get
$2 \left(0\right) - 5 y = - 10$
or
$0 - 5 y = - 10$
or
$- 5 y = - 10$
or
$5 y = 10$
or
$y = \frac{10}{5}$
$y = 2$ --------------Ans $2$

In the equation y=mx+c; m is the slope
So we can rewrite equation $2 x - 5 y = - 10$
as
$5 y = 2 x + 10$
or
$y = \left(\frac{2}{5}\right) x + \frac{10}{5}$
or
$y = \left(\frac{2}{5}\right) x + 2$

Hence slope=$\frac{2}{5}$ ----------Ans $3$