SOLUTION: Write an equation of the line that is perpendicular to the line y=-2/3x+4 and passes through the point (1,-4).

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Question 181845: Write an equation of the line that is perpendicular to the line y=-2/3x+4 and passes through the point (1,-4).
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Perpendicular lines have slopes that are negative reciprocals, that is:



Since your given equation is already in slope-intercept form:





You can read the slope directly, i.e.

Therefore any perpendicular line must have a slope:



Now that you have the slope of the desired line along with the given point, , you can use the point-slope form of the equation of a line:



where m is the slope and is the given point to develop your desired equation:



Since your given equation was in slope-intercept form, you should rearrange your answer to that form as well.



John