SOLUTION: wrtie an equation of the line that passes through (1,4)and is perpenducular to the line y=-3x+1

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Question 400597: wrtie an equation of the line that passes through (1,4)and is perpenducular to the line y=-3x+1
Answer by solver91311(24713) About Me  (Show Source):
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Perpendicular lines have slopes that are negative reciprocals, that is to say:



So, since your given equation is in slope-intercept form, you can determine the slope of the given line by inspection. Then calculate the negative reciprocal to get the slope of the desired line.

Next, use the point-slope form of an equation of a line to derive your desired equation:



where are the coordinates of the given point and is the calculated slope.

John

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