SOLUTION: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x + 3y =12 and passing through (9,-5).

Question 144525: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x + 3y =12 and passing through (9,-5).
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Change x + 3y = 12 to standard slope format y = mx + b to find the slope
3y = -x + 12
y = -x/3 + 4
So the slope is -1/3. A line perpendicular will have a slope of +1/3.
Now find a line with a slope of 1/3 passing thru (9, -5)
y - Y = m(x - X) + b where the CAPS are the point (9,-5)
y + 5 = 1/3(x - 9) Multiply by 3
3y + 15 = x - 9
x - 3y = 24
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