Question 131157


{{{8x+4y=24}}} Start with the given equation



{{{4y=24-8x}}}  Subtract {{{8 x}}} from both sides



{{{4y=-8x+24}}} Rearrange the equation



{{{y=(-8x+24)/(4)}}} Divide both sides by {{{4}}}



{{{y=(-8/4)x+(24)/(4)}}} Break up the fraction



{{{y=-2x+6}}} Reduce




So the equation is now in slope-intercept form ({{{y=mx+b}}}) where the slope is {{{m=-2}}} and the y-intercept is {{{b=6}}}




So you have the correct answer.