Math Help - Determine the coordinates of the points.

1. Determine the coordinates of the points.

Determine the coordinates of the points three-forths of the way from a(-9,3) and (-1,-7).

What i did so far was solve the change in x and y between the given points by 4

change in x=-1+9/4 =2 change in y=-7-3/4 = -5/2

so then I got (-9,3),(-7,1/2),(-5,-2),(-3,-9/2),(-1,-7)

Im not sure which one would be "three-forth". Have i dont this question right? and which one would be three-forth?

Thank you for the help.

2. Originally Posted by missionmom
Determine the coordinates of the points three-forths of the way from a(-9,3) and (-1,-7).

What i did so far was solve the change in x and y between the given points by 4

change in x=-1+9/4 =2 change in y=-7-3/4 = -5/2

so then I got (-9,3),(-7,1/2),(-5,-2),(-3,-9/2),(-1,-7)

Im not sure which one would be "three-forth". Have i dont this question right? and which one would be three-forth?

Thank you for the help.
You are looking for the coordinates of a point on the line PQ with P(-9,3) and Q(-1,-7) whose distance from P (or Q) is $\frac34$ of the whole length PQ.

All your calculations are OK. But:

If the line is determined by P and Q then (-5,-2) is the midpoint.
If the line is determined by P and Q then the distance of (-3,-9/2) to P is $\frac34$ of the total length.

If the line is determined by Q and P then the distance of (-7, 1/2) to Q is $\frac34$ of the total length.