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The line equation in slope-intercept form is , where m is the slope and b is the y-intercept.
Compare the equation with slope-intercept form and find the slope of the line.
Slope of the line .
Find the parallel line equation, substitute and in the point-slope form equation .
Subtract 2 from each side.
If two lines are perpendicular, the slope () of one line is opposite
reciprocal of the second line slope (). It can be represented as, .
So, slope of the line perpendicular to given line is .
Substitute = and in the point-slope form .
Add 6 to each side.
The slope-intercept form in parallel line equation is .
The slope-intercept form in perpendicular line equation is .
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