State the slope and y-intercept of the given linear equation. 4x+6y=12

First you need to put it in the correct order, isolate y.

4x+6y=12 subtract 4x

6y=-4x+12 divide by 6

y=-4/6 x+12/2 simplify

y=-2/3x+6 so now the equation is in slope intercept form which is y=mx+b

m=slope

b=y-intercept

So, the slope is - 2/3 and the y-intercept is 6