Question

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

Answer 1

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`