Distance formula

[RHSLilSweetie07]

Find the point that is one-fourth of the distance from the point P(-1,3) to the point Q(7,5) along the segment PQ.

I'm not sure how to work this problem. Do I find the distance from P to Q using the distance formula? Then what should I do?

 

[Guest]

distance between 2 points is
d= sqrt( ( y2-y1)^2 + (x2-x1)^2 )

where your points are (x1, y1) and (x2,y2)

 

[dagr8est]

For this particular problem, it is easier to find the midpoint between (-1, 3) and (7, 5); then find the midpoint between (-1, 3) and whatever you came up with for the previous midpoint. Half of half is one fourth.

If you don't know the midpoint formula, it is:

M=[x1+x2]/2, [y1+y2]/2

(x1, y1) and (x2, y2) are any two points.

 

[RHSLilSweetie07]

So is the answer (1,3.5) correct?

 

[Guest]

well done - this is correct