Answer:
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Step-by-step explanation:
The slope of a line in a plane would be if the equation of that line could be written in the slope-intercept form for some constant .
Find the slope of the given line by rearranging its equation into the slope-intercept form.
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Thus, the slope of the given line would be .
Two lines in a plane are perpendicular to one another if and only if the product of their slopes is .
Let and denote the slope of the given line and the slope of the line in question, respectively.
Since the two lines are perpendicular to each other, . Apply the fact that the slope of the given line is and solve for , the slope of the line in question.
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In other words, the slope of the line perpendicular to would be .
If the slope of a line in a plane is , and that line goes through the point , the equation of that line in point-slope form would be:
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Since the slope of the line in question is and that line goes through the point , the equation of that line in point-slope form would be:
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Rearrange this equation as the question requested:
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