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

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?