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Find the equation of locus of point which moves on the line joining the points (2,4) and (5,9).

Full solution with process please.

"Talent hits the target no one else can hit. Genius hits the target no one else can see." - Arthur Schopenhauer

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi ktesla39,

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Bob****Administrator**- Registered: 2010-06-20
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Find the equation of locus of point which moves on the line joining the points (2,4) and (5,9).

That will be the equation of the line.

Step 1. Find the gradient.

The general equation of a straight line is y = mx + c where m is the gradient, so I'll substitute in (2,4) and m = 5/3 to find c.

So we have

You can also express the locus like this: {points of the form (3t-1, 5t-1) for all t}

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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