# How do you find the slope and intercept of 5-1/5y=10x?

Mar 26, 2016

The slope, $m$, is $- 50$.
The y-intercept, $b$, is $25$.
The x-intercept=$\frac{1}{2}$

#### Explanation:

The formula for the slope-intercept form of a linear equation is $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept.

$5 - \frac{1}{5} y = 10 x$

In order to find the slope and y-intercept for the above formula, solve for $y$.

Subtract $5$ from both sides.

$- \frac{1}{5} y = 10 x - 5$

Simplify $- \frac{1}{5} y$ to $\frac{- 1 y}{5}$.

$\frac{- 1 y}{5} = 10 x - 5$

Multiply both sides by $5$.

$- y = \left(10 x \cdot 5\right) - \left(5 \cdot 5\right)$

Simplify.

$- y = 50 x - 25$

Multiply both sides by $- 1$.

$y = - 50 x + 25$

$m = - 50$
$b = 25$

If you wish to find the x-intercept also, substitute $0$ for $y$ and solve for $x$.

$y = - 50 x + 25$

$0 = - 50 x + 25$

Add $50 x$ to both sides.

$50 x = 25$

Divide both sides by $50$.

$x = \frac{25}{50}$

Simplify.

$x = \frac{1}{2}$