Question 544683
Solving for y:



{{{4x+6y=24}}} Start with the given equation.



{{{6y=24-4x}}} Subtract {{{4x}}} from both sides.



{{{6y=-4x+24}}} Rearrange the terms.



{{{y=(-4x+24)/(6)}}} Divide both sides by {{{6}}} to isolate y.



{{{y=((-4)/(6))x+(24)/(6)}}} Break up the fraction.



{{{y=-(2/3)x+4}}} Reduce.



So the equation {{{y=-(2/3)x+4}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=-2/3}}} and the y-intercept is {{{b=4}}} note: the y-intercept is the point *[Tex \LARGE \left(0,4\right)]