Precalculus Examples

$y = 4 x + \frac{3}{2}$

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 $4$ .

$m = 4$

Step 2

The equation of a perpendicular line to $y = 4 x + \frac{3}{2}$ must have a slope that is the negative reciprocal of the original slope.

$m_{perpendicular} = - \frac{1}{4}$

Step 3