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Wedu 11
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#1
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#1
P is the point (16, 9) and Q is the point (22, 24).
N is the point on PQ such that PN = 2NQ.
Find the co-ordinates of N.
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JoePotter18
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If you draw it out first it makes is easier to visualise. PN is 2 times the distance of NQ which means it sits 2/3 up the line.

So you could just find the difference in both x and y values, which would be (22-16)= 6 and (24-9) = 15
Then multiply them by 2/3 and add it to the P coordinate. 16 2/3(6) = 20 and 9 2/3(15) = 19
So I got (20,19)
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Last edited by JoePotter18; 4 weeks ago
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Wedu 11
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Why do we add it to the P coordinate??
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JoePotter18
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When multiplying by 2/3 you have found the distance from P to N. So you have to add it to P.

You could have multiplied the difference by 1/3 and subtracted it from Q as that would be the distance from Q to N.

Hard to explain ahaha
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