Solve for x1 y-y_1=m(x-x_1)

$y - y_{1} = m (x - x_{1})$

Step 1

Simplify $m (x - x_{1})$ .

Rewrite.

$y - y_{1} = 0 + 0 + m (x - x_{1})$

Simplify by adding zeros.

$y - y_{1} = m (x - x_{1})$

Apply the distributive property.

$y - y_{1} = m x + m (- x_{1})$

Rewrite using the commutative property of multiplication.

$y - y_{1} = m x - m x_{1}$

Step 2

Add $y_{1}$ to both sides of the equation.

$y = m x - m x_{1} + y_{1}$