Question 127126


{{{-x-4y=-32}}} Start with the given equation



{{{-4y=-32+x}}} Add {{{ x}}} to both sides



{{{-4y=+x-32}}} Rearrange the equation



{{{y=(+x-32)/(-4)}}} Divide both sides by {{{-4}}}



{{{y=(+1/-4)x+(-32)/(-4)}}} Break up the fraction



{{{y=(-1/4)x+8}}} Reduce




So the equation is now in slope-intercept form ({{{y=mx+b}}}) where the slope is {{{m=-1/4}}} and the y-intercept is {{{b=8}}}