Answer:
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Step-by-step explanation:
In a cartesian plane, if the equation of a line is in the slope-intercept form , then would be the slope of that line.
Rewrite the equation of the given line to obtain the slope-intercept equation for this line:
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In other words, the slope of the given line is .
Let denote the slope of the given line, and let denote the slope of the line perpendicular to the given line.
If two lines in a cartesian plane are perpendicular to one another, the product of their slopes would be . In other words, . Rearrange to obtain an expression for the slope of the line perpendicular to the given line:
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The slope of the given line has been found: . Hence, the slope of the line perpendicular to this given line would be:
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