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

Question

1474 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-20T21:05:28

Slope is $4/5$

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 $5y$ to just $y$ . Then the coefficient of $x$ is the slope.

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

$4/5x=y+1/5" " =>" " m=4/5 ->" gradient"$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If you wish to completely convert the given into standard form:

Given $4/5x=y+1/5$

Subtract $1/5$ from both sides

$y=45x-1/5$