Precalculus Examples

$y = 3 x - 4$

Step 1

Use the slope-intercept form to find the slope.

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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

Using the slope-intercept form, the slope is

$3$ .

$m = 3$

Step 2

The equation of a perpendicular line to

$y = 3 x - 4$ must have a slope that is the negative reciprocal of the original slope.

$m_{perpendicular} = - \frac{1}{3}$

Step 3

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