Pre-Algebra Examples

$y - 5 = - 2 (x - 3)$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Tap for more steps...

Step 2.1

Simplify the right side.

Tap for more steps...

Step 2.1.1

Simplify $- 2 (x - 3)$ .

Tap for more steps...

Step 2.1.1.1

Apply the distributive property.

$y - 5 = - 2 x - 2 \cdot - 3$

Step 2.1.1.2

Multiply $- 2$ by $- 3$ .

$y - 5 = - 2 x + 6$

Step 2.2

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 2.2.1

Add $5$ to both sides of the equation.

$y = - 2 x + 6 + 5$

Step 2.2.2

Add $6$ and $5$ .

$y = - 2 x + 11$