SOLUTION: write an equation for the line perpendicular to y = 3x - 5 that contains (4,-2).

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Question 356860: write an equation for the line perpendicular to y = 3x - 5 that contains (4,-2).
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals.



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Use the point-slope form of a line,

Use the point to solve for ,




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Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi,

Note: perpendicular lines have slopes that are negative reciproclas of one another

line perpendicular to  y = 3x - 5 would have a slope -1/3

Using slope intercept form of an equation for that line

y = (-1/3)x + b

Using Pt(4,-2) to find b

-2 = (-1/3)*4 + b

-2/3 = b

Line is y = (-1/3)x - (2/3) 

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