The point p(3,2) is on line l. the sum of the x and y-intercepts of line l is 12. find all possible equations for line l in standard form.

Let k and 12-k be the x and y-intercepts.equation of l: (12-k-0)/(0-k) = y/(x-k)put (3,2) into l: (k-12)/k = 2/(3-k)(3-k)(k-12) = 2k-k^2 +15k -36 = 2kk^2 -13k +36=0(k-4)(k-9)=0k=4 or 9when k=4, the equation of l is -2=y/(x-4)y+2x-8=0when k=9, the equation of l is-1/3 = y/(x-9)x+3y-9=0

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