Question 83196
{{{y-6=(-4/5)(x-5)}}} Start with the given equation

{{{y-6=(-4/5)x-(-4/5)5)}}} Distribute


{{{y-6=(-4/5)x+4)}}} Multiply


{{{y-6+(4/5)x=4)}}} Add {{{(4/5)x}}} to both sides



{{{y+(4/5)x=4+6)}}} add 6 to both sides


{{{y+(4/5)x=10)}}} Combine like terms


{{{5(y+(4/5)x)=5(10))}}}Multiply both sides by 5 to eliminate the denominator


{{{5y+4x=50)}}}  Distribute


{{{4x+5y=50)}}} Rearrange in standard form