Question 141534
Do you want to solve for y?





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



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



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



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



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





So the equation is now in slope-intercept form ({{{y=mx+b}}}) where the slope is {{{m=-4/3}}} and the y-intercept is {{{b=2/3}}}