Pre-Algebra Examples

$y - (- 6) = - 4 (x - 3)$

Step 1

Rewrite in slope-intercept form.

Tap for more steps...

Step 1.1

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 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Multiply $- 1$ by $- 6$ .

$y + 6 = - 4 (x - 3)$

Step 1.3

Simplify the right side.

Tap for more steps...

Step 1.3.1

Simplify $- 4 (x - 3)$ .

Tap for more steps...

Step 1.3.1.1

Apply the distributive property.

$y + 6 = - 4 x - 4 \cdot - 3$

Step 1.3.1.2

Multiply $- 4$ by $- 3$ .

$y + 6 = - 4 x + 12$

Step 1.4

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

Tap for more steps...

Step 1.4.1

Subtract $6$ from both sides of the equation.

$y = - 4 x + 12 - 6$

Step 1.4.2

Subtract $6$ from $12$ .

$y = - 4 x + 6$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Step 2.1

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - 4$

$b = 6$

Step 2.2

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- 4$

y-intercept: $(0, 6)$

Slope: $- 4$

y-intercept: $(0, 6)$

Step 3