The points A(−1,7) and B(5,−5) are joined by a straight segment

MATHEMATICS · Multi-part · GCSE · Mathematics · Graphs · Graphs

Problem

The points A(−1,7) and B(5,−5) are joined by a straight segment. A point S on AB has x-coordinate 2. (i) Show that S divides AB internally in the ratio 1:1. (ii) Determine the y-coordinate of S. (iii) Find the lengths AS and SB, and confirm that they are equal.

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