# What is the slope and y-intercept of the line x+2y=4?

May 17, 2018

The slope is equal to $- \frac{1}{2}$, or $- 0.5$, and the $y$-int is equal to $2$.

#### Explanation:

We know this because when we put the equation into

$y = m x + b$

form, you first move $x$ to the right side by subtracting it from both sides

$2 y = - x + 4$

Next, you divide by two on both sides to finish off (to isolate $y$), so you get

$y = - \frac{.1}{2} x + 2$

And finally, since you have it in $y = m x + b$ form already, (where $b$ is the $y$-intercept) you get that slope (or $m$) is equal to $- \frac{1}{2}$.