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

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


   

Question 144714: . 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 solver91311(24713) About Me  (Show Source):
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Solve the given equation for y. Then take the negative reciprocal of the resulting coefficient on the x term, call this m%5B2%5D. Substitute m%5B2%5D in y-%28-5%29=m%5B2%5D%28x-9%29. Distribute, rearrange, and collect terms to put your equation in standard form, i.e. ax%2Bby=z. If necessary, multiply the equation by any denominators that appear in non-integer coefficients.