Math Is Fun Forum

Toast

Real Member

Registered: 2006-10-08

Posts: 1,321

Linear Geometry

For the interval AB, the coordinates of A and B are (x1,y1) and (x2,y2) respectively.
If M is a point on AB such that AM : MB = 3 : 1, find the coordinates of M.

Dross

Member

Registered: 2006-08-24

Posts: 325

Re: Linear Geometry

Because you're dealing with a straight line, you can deal with what happens along the x-axis and y-axis seperately.

So first, find the x-coordintate of the point M - you know that:

so:

... now solve for x[sub]m[/sub] in terms of x[sub]1[/sub] and x[sub]2[/sub].

Bonus points if, after calculating x[sub]m[/sub], you can write down the expression for y[sub]m[/sub] with out doing any further calculations. (even in your head )

Last edited by Dross (2007-03-05 02:29:17)

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Toast

Real Member

Registered: 2006-10-08

Posts: 1,321

Re: Linear Geometry

Thanks a bunch Dross!