SOLUTION: the segment joining (2, -4) and (9, 3) id divided into segments one which is three-fourths as long as the other. find the division nearer to (2, -4)

Algebra ->  Points-lines-and-rays -> SOLUTION: the segment joining (2, -4) and (9, 3) id divided into segments one which is three-fourths as long as the other. find the division nearer to (2, -4)      Log On


   

Question 936917: the segment joining (2, -4) and (9, 3) id divided into segments one which is three-fourths as long as the other. find the division nearer to (2, -4)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
A solution will use the Distance Formula.

The segment length of the given two points,
sqrt%28%289-2%29%5E2%2B%283-%28-4%29%29%5E2%29
sqrt%28%287%29%5E2%2B%287%29%5E2%29
sqrt%282%2A49%29
7%2Asqrt%282%29

You want using that,
sqrt%28%28x-2%29%5E2%2B%28y%2B4%29%5E2%29=%281%2F4%29%2A7%2Asqrt%282%29
and
sqrt%28%28x-9%29%5E2%2B%28y-3%29%5E2%29=%283%2F4%29%2A7%2Asqrt%282%29.

Can you take the rest of the solution process?