Algebra Examples

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

Step 1

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

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Step 1.1

Rewrite.

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

Step 1.2

Simplify by adding zeros.

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

Step 1.3

Apply the distributive property.

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

Step 1.4

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.

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