# How do you find the slope given 4x=5y+1?

May 20, 2016

Slope is $\frac{4}{5}$

#### Explanation:

The $y$ is on a different side of = to the $x$

So the signs are as they should be. All we have to do is change $5 y$ to just $y$. Then the coefficient of $x$ is the slope.

Compare to $y = m x + c$ where $m$ is the slope (gradient).
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Divide both sides by 5 giving:

$\frac{4}{5} x = y + \frac{1}{5} \text{ " =>" " m=4/5 ->" gradient}$
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If you wish to completely convert the given into standard form:

Given $\frac{4}{5} x = y + \frac{1}{5}$

Subtract $\frac{1}{5}$ from both sides

$y = 45 x - \frac{1}{5}$