Given two end points of a line segment as (5, t) and (-5, -t). If the length of the line segment is 2sqrt(34), find the slope of the line?

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- Aug 6th 2010, 05:41 AMsfspitfire23line segment
**Given two end points of a line segment as (5, t) and (-5, -t). If the length of the line segment is 2sqrt(34), find the slope of the line?** - Aug 6th 2010, 05:44 AMundefined
The point goes through the origin, and you can simplify by saying the length of the segment from (0,0) to (5,t) is sqrt(34). Apply Pythagorean theorem to find t, then slope will be t/5.

Edit: There is not enough information. We do not know if t is positive or negative. So we get two possible answers, and can't know which one is true. (I guess just use the $\displaystyle \pm$ sign.) - Aug 6th 2010, 05:47 AMsfspitfire23
can I also write the equation of the line m=(y-y1)/(x-x1) using a point and the slope and then plug in the other point for values x and y to solve for t?

- Aug 6th 2010, 05:52 AMundefined
- Aug 6th 2010, 05:53 AMsfspitfire23
i wasn't ;-)

- Aug 6th 2010, 05:54 AMundefined
- Aug 6th 2010, 06:08 AMsfspitfire23
i get plus/minus sqrt(111)/5

- Aug 6th 2010, 06:11 AMundefined