How do you find the slope and intercept of #4-1/3y=6x#?

1 Answer
Mar 4, 2016

slope: -18x
y intercept: 12

Explanation:

We must put your equation into y=mx+b form. To do this, we must use algebra!

#4-1/3y=6x#

Keep the y on the left side, and move everything else over. Don't forget to change their operation when moving an expression to its opposite side (positive to negative, or negative to positive).

#-1/3y=6x-4#

Next, to get y by itself, we must divide everything by #-1/3#.

#(-1/3y)/(-1/3)=(6x)/(-1/3)(-4)/(-1/3)#

There's your final equation in y=mx+b form! From here, you can easily spot the slope and y intercept.

#y=-18x+12#