What is 9x-7y=-7 in slope intercept form?

Slope intercept form is y = mx + b

So if you start with 9x - 7y = - 7, the first thing you need to do is move the 9x to the other side of the equation by subtracting it from both sides.

9x - 7y = - 7

-9x - 9x

Now you have - 7y = - 9x - 7

For the equation to be in slope intercept form now you should divide every term by the number in front of your y. In this case divide every term by - 7

-7y = - 9x - 7

-7 - 7 - 7

That leaves you with: y = 9x/7 + 1