SOLUTION: Find the equation of the line perpendicular to y= -3x + 1 that has an x-intercept of 2.

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Question 656888: Find the equation of the line perpendicular to y= -3x + 1 that has an x-intercept of 2.
Answer by solver91311(24713) About Me  (Show Source):
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I believe it is an error to refer to an intercept as a single number. An intercept is properly defined as a point, which, in is defined by an ordered pair. The proper way to refer to the -intercept in your problem is

The slope of the given line, the equation of which is presented in slope-intercept form, is simply the coefficient on . The slope of any perpendicular to any line where the slope is neither zero nor undefined is the negative reciprocal of the slope of the first line, thus:



Now that you have the slope of the desired line and one point on that line, use the point-slope form to derive an equation that represents the desired line.



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

John

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