SOLUTION: write a slope intercept equation of the line containing the points (4,1) and perpendicular to the line x-3y=9

Algebra ->  Linear-equations -> SOLUTION: write a slope intercept equation of the line containing the points (4,1) and perpendicular to the line x-3y=9      Log On


   

Question 684930: write a slope intercept equation of the line containing the points (4,1) and perpendicular to the line x-3y=9
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with x - 3y = 9
find the slope
3y = x - 9
y = %281%2F3%29x+-+3
slope is 1%2F3
...
A perpendicular line will have a negative inverse/reciprocal slope of -3
...
Use the slope and the point (4, 1) in the point-slope formula
y - 1 = -3(x-4)
y - 1 = -3x + 12
highlight_green%28y+=+-3x+%2B+13%29
.....................
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