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A line passes through (2,2) and cuts a triangle of area 9 square units from the first quadrant . The sum of all possible values for the slope of such a line,is [OPTIONS]: A.-2.5 B.-2 C.-1.5 D.-1 P.S.The answer is A.-2.5.Just tell me how.
x/x1+y/y1=1 (passes through 2,2)2/x1+2/y1=12(x1+y1)=x1y1 equ. 1now area,1/2(x1y1)=9x1y1=18 equ. 2put equ.2 in equ. 1x1+y1=9 equ. 3solving equ. 3 and equ. 2 we get(x1y1) gives (6,3), (3,6)slope = -2,-1/2sum of slope =-2.5 Answer
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