Question 174260
{{{4-1.5y=3x}}} Start with the given equation.



{{{-1.5y=3x-4}}} Subtract 4 from both sides.



{{{y=(3x-4)/(-1.5)}}} Divide both sides by {{{-1.5}}} to isolate y.



{{{y=(3x)/(-1.5)-(4)/(-1.5)}}} Break up the fraction.



{{{y=-2x+2.667}}} Divide



So the equation {{{y=-2x+2.667}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=-2}}} and the y-intercept is {{{b=2.667}}} note: the y-intercept is the point *[Tex \LARGE \left(0,2.667\right)]