Calculus Examples

$f (x) = 4 (x + 3)$

Step 1

Write $f (x) = 4 (x + 3)$ as an equation.

$y = 4 (x + 3)$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

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 2.2

Simplify the right side.

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Step 2.2.1

Simplify $4 (x + 3)$ .

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Step 2.2.1.1

Apply the distributive property.

$y = 4 x + 4 \cdot 3$

Step 2.2.1.2

Multiply $4$ by $3$ .

$y = 4 x + 12$

Step 3

Using the slope-intercept form, the slope is $4$ .

$m = 4$

Step 4