Precalculus Examples

$4 x - 5 = 24$ , $(1, 4)$

Step 1

Solve $4 x - 5 = 24$ .

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Step 1.1

Move all terms not containing $x$ to the right side of the equation.

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Step 1.1.1

Add $5$ to both sides of the equation.

$4 x = 24 + 5$

Step 1.1.2

Add $24$ and $5$ .

$4 x = 29$

Step 1.2

Divide each term in $4 x = 29$ by $4$ and simplify.

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Step 1.2.1

Divide each term in $4 x = 29$ by $4$ .

$\frac{4 x}{4} = \frac{29}{4}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $4$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{29}{4}$

Step 1.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{29}{4}$

Step 2

Since $x = \frac{29}{4}$ is a vertical line, the slope is undefined.

Undefined

Step 3

The perpendicular line is horizontal and the slope is $0$ .

$y = 4$

Step 4