Calculus Examples

$f (x) = 2 (3 x - 7)$

Step 1

Write $f (x) = 2 (3 x - 7)$ as an equation.

$y = 2 (3 x - 7)$

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 $2 (3 x - 7)$ .

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Step 2.2.1.1

Apply the distributive property.

$y = 2 (3 x) + 2 \cdot - 7$

Step 2.2.1.2

Multiply.

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Step 2.2.1.2.1

Multiply $3$ by $2$ .

$y = 6 x + 2 \cdot - 7$

Step 2.2.1.2.2

Multiply $2$ by $- 7$ .

$y = 6 x - 14$

Step 3

Using the slope-intercept form, the slope is $6$ .

$m = 6$

Step 4