# Question #04189

Nov 15, 2016

The slope-intercept is $2$.

#### Explanation:

$2 x + 5 y = 10$ is the standard form for a linear equation.

In order to determine the y-intercept, you need to solve the standard form for $y$. This will result in the slope-intercept form for a linear equation, $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept.

$2 x + 5 y = 10$

Subtract $2 x$ from both sides.

$5 y = - 2 x + 10$

Divide both sides by $5$.

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

Simplify.

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

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

$b = 2$

The y-intercept is $2$ when $x = 0$, which is point $\left(0 , 2\right)$.

graph{y=-2/5x+2 [-10, 10, -5, 5]}