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y-3=-\frac{1}{3}x+\frac{4}{3}
Use the distributive property to multiply -\frac{1}{3} by x-4.
-\frac{1}{3}x+\frac{4}{3}=y-3
Swap sides so that all variable terms are on the left hand side.
-\frac{1}{3}x=y-3-\frac{4}{3}
Subtract \frac{4}{3} from both sides.
-\frac{1}{3}x=y-\frac{13}{3}
Subtract \frac{4}{3} from -3 to get -\frac{13}{3}.
\frac{-\frac{1}{3}x}{-\frac{1}{3}}=\frac{y-\frac{13}{3}}{-\frac{1}{3}}
Multiply both sides by -3.
x=\frac{y-\frac{13}{3}}{-\frac{1}{3}}
Dividing by -\frac{1}{3} undoes the multiplication by -\frac{1}{3}.
x=13-3y
Divide y-\frac{13}{3} by -\frac{1}{3} by multiplying y-\frac{13}{3} by the reciprocal of -\frac{1}{3}.
y-3=-\frac{1}{3}x+\frac{4}{3}
Use the distributive property to multiply -\frac{1}{3} by x-4.
y=-\frac{1}{3}x+\frac{4}{3}+3
Add 3 to both sides.
y=-\frac{1}{3}x+\frac{13}{3}
Add \frac{4}{3} and 3 to get \frac{13}{3}.