Find Any Equation Parallel to the Line y=3x-8

$y = 3 x - 8$

Choose a point that the parallel line will pass through.

$(0, 0)$

Use the slope-intercept form to find the slope.

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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 $3$ .

$m = 3$

To find an equation that is parallel to $y = 3 x - 8$ , the slopes must be equal. Using the slope of the equation, find the parallel line using the point–slope formula.

$(0, 0)$

$m = 3$

Using the point-slope form $y - y_{1} = m (x - x_{1})$ , plug in $m = 3$ , $x_{1} = 0$ , and $y_{1} = 0$ .

$y - (0) = (3) (x - (0))$

Solve for $y$ .

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Subtract $0$ from $y$ .

$y = (3) (x - (0))$

Subtract $0$ from $x$ .

$y = 3 x$

Find Any Equation Parallel to the Line y=3x-8

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