Mathematics
Show that the line segment joining the points (-5, 8) and (10, -4) is trisected by the co-ordinate axes.
Section Formula
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Answer
Let A = (-5, 8) and B = (10, -4)
Let P and Q be points which trisects AB.
Let P (a, b) divide AB in 1 : 2 and Q (c, d) in 2 : 1.

By section formula (for P),
P = (a, b) = (0, 4).
By section formula (for Q),
Q = (c, d) = (5, 0).
Since, x co-ordinate of P = 0, it means P lies on y-axis and y co-ordinate of Q = 0, it means Q lies on x-axis.
Hence, proved that line segment joining the points (-5, 8) and (10, -4) is trisected by the co-ordinate axes.
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