Let there be a line m passing through the points (8,6) and (7,11) in the xy plane. Let there be another n line in the same plane having a slope −3 and x intercept as 2. Find the y coordinate of the point of intersection of the lines m and n.
A
−545
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B
545
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C
55
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D
−54
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Solution
The correct option is D−54
Given line m is passing through points (8,6) and (7,11)
Equation of line m:y−6=11−67−8(x−8)
m:y−6=−51(x−8)
m:y−6=−5x+40
m:5x+y=46
Equation of line n with slope −3 and x intercept 2