Solve for b
Solve for m
Solve for x
Solve for y
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b=\left(-m\right)x+y
Add y to both sides.
b=-mx+y
Reorder the terms.
\left(-m\right)x=b-y
Swap sides so that all variable terms are on the left hand side.
-mx=-y+b
Reorder the terms.
\left(-x\right)m=b-y
The equation is in standard form.
\frac{\left(-x\right)m}{-x}=\frac{b-y}{-x}
Divide both sides by -x.
m=\frac{b-y}{-x}
Dividing by -x undoes the multiplication by -x.
m=-\frac{b-y}{x}
Divide b-y by -x.
\left(-m\right)x=b-y
Swap sides so that all variable terms are on the left hand side.
\frac{\left(-m\right)x}{-m}=\frac{b-y}{-m}
Divide both sides by -m.
x=\frac{b-y}{-m}
Dividing by -m undoes the multiplication by -m.
x=-\frac{b-y}{m}
Divide b-y by -m.
-y=\left(-m\right)x-b
Subtract b from both sides.
-y=-mx-b
Reorder the terms.
\frac{-y}{-1}=\frac{-mx-b}{-1}
Divide both sides by -1.
y=\frac{-mx-b}{-1}
Dividing by -1 undoes the multiplication by -1.
y=mx+b
Divide -mx-b by -1.