Prove that the line joining the points (4,−3) and (−8,6) passes through the origin.
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Now the line joining the points (4,−3) and (−8,6) is
6+3
y+3
=
−8−4
x−4
or, −12y−72=9x−72
or, 9x+12y=0
Since the equation of the line is satisfied by the origin so the line passes through the origin.
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