# How do you find the slope and intercept for 2x+y=5?

May 9, 2018

Slope: $- 2$, or $- \frac{2}{1}$
Intercept: $5$

#### Explanation:

To find slope and intercept, we should have this in slope-intercept form, $y = m x + b$. Slope is $m$ and $b$ is the intercept.

Now let's isolate the $y$ to get the form.
$2 x + y = 5$ becomes $\setminus \cancel{2 x} + y \setminus \cancel{\setminus \textcolor{red}{- 2 x}} = 5 \setminus \textcolor{red}{- 2 x}$ which simplifies to $y = - 2 x + 5$

From there, you see that slope $m = - 2$ and intercept $b = 5$.