Question 130379


{{{5x-2y=3}}} Start with the given equation



{{{-2y=3-5x}}}  Subtract {{{5 x}}} from both sides



{{{-2y=-5x+3}}} Rearrange the equation



{{{y=(-5x+3)/(-2)}}} Divide both sides by {{{-2}}}



{{{y=(-5/-2)x+(3)/(-2)}}} Break up the fraction



{{{y=(5/2)x-3/2}}} Reduce




So the equation is now in slope-intercept form ({{{y=mx+b}}}) where the slope is {{{m=5/2}}} and the y-intercept is {{{b=-3/2}}}