Question

How can you change 9x-7y=-2 in slope intercept form

Answer 1

Slope-intercept form gives is $y=mx+b$ where $m$ is the slope of the line and $b$ is the y-intercept.

You can see that in slope-intercept form the $y$ term is alone. In order to convert $9x-7y=-2$ into slope intercept form, you must isolate the y term.

First we'll subtract 9x from each side.
$-7y=-9x-2$

Now we can divide both sides by -7.
$y= \frac{-9x-2}{-7}$

Now we can simplify it.
$y= \frac{9}{7}x+ \frac{2}{7}$