# What is the slope and intercept of 2x-5y=-10?

Jun 4, 2017

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

$b = + 2$, or the point $\left(0 , + 2\right)$

#### Explanation:

To find the slope and y intercept it is easiest to put the equation in the slope-intercept form of a straight line:

$y = m x + b$

where $m$ = the slope and
where $b$ = the $y$- intercept.

Transpose the equation into the form $y = m x + b$

$2 x - 5 y = - 10 \text{ }$ Subtract $2 x$ from both sides.

$2 x - 2 x - 5 y = - 2 x - 10 \text{ }$ Divide both sides by $- 5$

$\frac{- 5 y}{- 5} = \frac{- 2 x}{- 5} + \frac{- 10}{- 5} \text{ }$ this gives

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

so the slope : $m = \frac{2}{5}$
the y intercept: $b = + 2$ or the point $\left(0 , + 2\right)$