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

1 Answer
Mar 14, 2018

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#.