# What is the slope-intercept form of 5x+y/5=17 ?

Dec 11, 2015

The slope intercept form is $y = - 25 x + 85$, where $- 25$ is the slope and $85$ is the y-intercept.

#### Explanation:

$5 x + \frac{y}{5} = 17$ is the standard form for a linear equation. To convert it to slope intercept form, solve for $y$.

$5 x + \frac{y}{5} = 17$

Subtract $5 x$ from both sides.

$\frac{y}{5} = - 5 x + 17$

Multiply both sides by $5$.

$y = \left(5\right) \left(- 5 x\right) + 17 \left(5\right)$

Simplify.

$y = - 25 x + 85$

Dec 11, 2015

The slope-intercept form of $5 x + \frac{y}{5} = 17$ is $y = - 25 x + 85$.

#### Explanation:

The equation of any given line in slope-intercept form is:

$y = m x + b$

The slope is represented by $m$ and the y-intercept is $b$.

The bottom line is, we want to isolate $y$. So let's do it! (:

$5 x + \frac{y}{5} = 17$ Given

$\frac{y}{5} = - 5 x + 17$ Subtract $5 x$ From Both Sides

$y = - 25 x + 85$ Isolate $y$ By Multiplying By $5$

So, the slope-intercept form of $5 x + \frac{y}{5} = 17$ is $y = - 25 x + 85$.