Precalculus Examples

$3 + 4 y = 15$ , $(6, 3)$

Step 1

Solve $3 + 4 y = 15$ .

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Step 1.1

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

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Step 1.1.1

Subtract $3$ from both sides of the equation.

$4 y = 15 - 3$

Step 1.1.2

Subtract $3$ from $15$ .

$4 y = 12$

Step 1.2

Divide each term in $4 y = 12$ by $4$ and simplify.

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Step 1.2.1

Divide each term in $4 y = 12$ by $4$ .

$\frac{4 y}{4} = \frac{12}{4}$

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.

$\frac{4 y}{4} = \frac{12}{4}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{12}{4}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $12$ by $4$ .

$y = 3$

Step 2

Use the slope-intercept form to find the slope.

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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

Using the slope-intercept form, the slope is $0$ .

$m = 0$

Step 3

The perpendicular line is vertical and the slope is undefined.

$x = 6$

Step 4