SOLUTION: what is an equation of the line that passes through the point (-2,5) and is perpendicular to the line whose equation is y=1/2x+5?
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Question 311089: what is an equation of the line that passes through the point (-2,5) and is perpendicular to the line whose equation is y=1/2x+5? Answer by solver91311(24713) (Show Source):
First determine the slope of the given line. Since the given line is in slope-intercept form, the coefficient on is the slope of the given line.
Next, determine the slope of the line for which you want to derive an equation. Perpendicular lines have slopes that are negative reciprocals. That is:
Next, use the point-slope form of the equation of a line to write the equation of the desired line:
where are the coordinates of the given point and is the negative reciprocal of the slope you determined in the first step of this solution.
The result will be an equation of the desired line. Note any requirements as to form that your instructor/professor/teacher imposes on you and make any necessary adjustments to the point slope form to achieve the required form.
