Question

What is the slope of `8y=21y-44x+21`?

Answer 1

The slope should be 44/13

Explanation:

We need to get the problem equation into the slope-intercept form `y=mx+b`. In order to do that, we'll need to get all y-terms to the left-hand side of the equation (LHS), and then divide through by y's coefficient:

`8y=21y-44x+21`

First, let's subtract `21y` from both sides, effectively moving the 21y to the LHS:

`8y-21y=cancel(21y)-44x+21-cancel(21y) rArr -13y=-44x+21`

Now, we'll divide through by y's coefficient, -13:

`(-13)/(-13)y=((-44)/-13)x+21/-13`

`y=44/13x-21/13`

We cannot reduce further since 13 is prime. Our slope is x's coefficient, which is `44/13`.