Solve y=m*2+b

$$y = m \cdot 2 + b$$

Solve for b

$$b=y-2m$$

Solution Steps

Swap sides so that all variable terms are on the left hand side.

$$m\times 2+b=y$$

Subtract m\times 2 from both sides.

$$b=y-m\times 2$$

Multiply -1 and 2 to get -2.

$$b=y-2m$$

Solve for m

$$m=\frac{y-b}{2}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$m\times 2+b=y$$

Subtract b from both sides.

$$m\times 2=y-b$$

The equation is in standard form.

$$2m=y-b$$

Divide both sides by 2.

$$\frac{2m}{2}=\frac{y-b}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$m=\frac{y-b}{2}$$