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Question

If the distance between the points A(–3, –14) and B(a, –5) is 9 units, then a = __________.

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Solution

The distance between x1, y1 and x2, y2 is x2-x12+y2-y12.

Therefore, the distance between the points A(–3, –14) and B(a, –5)=a--32+-5--142
9=a+32+-5+142Squaring both sides, we get92=a+32+92281=a+32+81a+32=0a=-3

Hence, a = –3.

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