Pre-Algebra Examples

- 9 = 4 (- 2) + b

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

Step 1

Rewrite in slope-intercept form.

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Step 1.1

The slope-intercept form is

y = m x + b

$y = m x + b$ , where

m

$m$ is the slope and

b

$b$ is the y-intercept.

y = m x + b

$y = m x + b$

Step 1.2

Simplify the right side.

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Step 1.2.1

Multiply

4

$4$ by

- 2

$- 2$ .

- 9 = - 8 + b

$- 9 = - 8 + b$

- 9 = - 8 + b

$- 9 = - 8 + b$

Step 1.3

Since

b

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

- 8 + b = - 9

$- 8 + b = - 9$

Step 1.4

Move all terms not containing

b

$b$ to the right side of the equation.

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Step 1.4.1

Add

8

$8$ to both sides of the equation.

b = - 9 + 8

$b = - 9 + 8$

Step 1.4.2

Add

- 9

$- 9$ and

8

$8$ .

b = - 1

$b = - 1$

b = - 1

$b = - 1$

b = - 1

$b = - 1$

Step 2

Since

b = - 1

$b = - 1$ 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)

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

Step 4

- 9 = 4 (- 2) + b

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

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