Find the Parallel Line y=9 (3,-8)

$y = 9$ $(3, - 8)$

Step 1

Use the slope-intercept form to find the slope.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

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

$m = 0$

Step 2

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Step 3

Use the slope $0$ and a given point $(3, - 8)$ to substitute for $x_{1}$ and $y_{1}$ in the point-slope form $y - y_{1} = m (x - x_{1})$ , which is derived from the slope equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (- 8) = 0 \cdot (x - (3))$

Step 4

Simplify the equation and keep it in point-slope form.

$y + 8 = 0 \cdot (x - 3)$

Step 5

Solve for $y$ .

Multiply $0$ by $x - 3$ .

$y + 8 = 0$

Subtract $8$ from both sides of the equation.

$y = - 8$

Step 6

Find the Parallel Line y=9 (3,-8)

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