Question 185657


{{{3x-2y=4}}} Start with the given equation.



{{{-2y=4-3x}}} Subtract {{{3x}}} from both sides.



{{{-2y=-3x+4}}} Rearrange the terms.



{{{y=(-3x+4)/(-2)}}} Divide both sides by {{{-2}}} to isolate y.



{{{y=((-3)/(-2))x+(4)/(-2)}}} Break up the fraction.



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



So the equation {{{y=(3/2)x-2}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=3/2}}} and the y-intercept is {{{b=-2}}} 


note: the y-intercept is the point *[Tex \LARGE \left(0,-2\right)]