Solve for x y-a=m(x-b)

$y - a = m (x - b)$

Step 1

Rewrite the equation as $m (x - b) = y - a$ .

$m (x - b) = y - a$

Step 2

Divide each term in $m (x - b) = y - a$ by $m$ and simplify.

Divide each term in $m (x - b) = y - a$ by $m$ .

$\frac{m (x - b)}{m} = \frac{y}{m} + \frac{- a}{m}$

Simplify the left side.

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{m (x - b)}{m} = \frac{y}{m} + \frac{- a}{m}$

Divide $x - b$ by $1$ .

$x - b = \frac{y}{m} + \frac{- a}{m}$

Simplify the right side.

Move the negative in front of the fraction.

$x - b = \frac{y}{m} - \frac{a}{m}$

Step 3

Add $b$ to both sides of the equation.

$x = \frac{y}{m} - \frac{a}{m} + b$