Pre-Algebra Examples

$- 9 = 4 (- 2) + b$

Step 1

Rewrite in slope-intercept form.

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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 right side.

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Step 1.2.1

Multiply $4$ by $- 2$ .

$- 9 = - 8 + b$

Step 1.3

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

$- 8 + b = - 9$

Step 1.4

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

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Step 1.4.1

Add $8$ to both sides of the equation.

$b = - 9 + 8$

Step 1.4.2

Add $- 9$ and $8$ .

$b = - 1$

Step 2

Since $b = - 1$ is a vertical line, there is no y-intercept.

No y-intercept

Step 3

y-intercept in point form.

$(0, N o y - i n t e r c e p t)$

Step 4