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?
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.)