Question 253631
{{{y=(4/3)x+2/3}}} Start with the given equation.



{{{3y=4x+2}}} Multiply every term by the LCD 3 to clear out the fractions.



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



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



{{{4x-3y=-2}}} Multiply every term by -1 to make the 'x' coefficient positive.



So the slope-intercept equation {{{y=(4/3)x+2/3}}} converts to the standard form equation {{{4x-3y=-2}}}