$\"\"$

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The line equation in slope-intercept form is $\"\"$ , where m is the slope and b is the y-intercept.

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Compare the equation with slope-intercept form and find the slope of the line.

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Slope of the line $\"\"$ . $\"\"$

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Find the parallel line equation, substitute $\"\"$ and $\"\"$ in the point-slope form equation $\"\"$ .

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$\"\"$

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$\"\"$

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Subtract 2 from each side.

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$\"\"$

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$\"\"$

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$\"\"$

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If two lines are perpendicular, the slope ( $\"\"$ ) of one line is opposite

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reciprocal of the second line slope ( $\"\"$ ). It can be represented as, $\"\"$ .

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So, slope of the line perpendicular to given line is $\"\"$ . $\"\"$

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Substitute $\"\"$ = $\"\"$ and $\"\"$ in the point-slope form $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Add 6 to each side.

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$\"\"$

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$\"\"$

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$\"\"$

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The slope-intercept form in parallel line equation is $\"\"$ .

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The slope-intercept form in perpendicular line equation is $\"\"$ . \ \