Pre-Algebra Examples

$- 18 = m - 6 + b$

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

Since $m$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$m - 6 + b = - 18$

Step 1.3

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

Tap for more steps...

Step 1.3.1

Add $6$ to both sides of the equation.

$m + b = - 18 + 6$

Step 1.3.2

Subtract $b$ from both sides of the equation.

$m = - 18 + 6 - b$

Step 1.3.3

Add $- 18$ and $6$ .

$m = - 12 - b$

Step 1.4

Arrange the polynomial to follow the $y = m x + b$ form for slope and y-intercept.

$m = - b - 12$

Step 2

Using the slope-intercept form, the y-intercept is $- 12$ .

$b = - 12$

Step 3

y-intercept in point form.

$(0, - 12)$

Step 4