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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Question

Show that the line segment joining the points (-5, 8) and (10, -4) is trisected by the co-ordinate axes.

KnowledgeBoat · Accepted 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.

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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