Question

The coordinates of the endpoints of QRQ (-11,-12) and (3,2). Point s is on QR and divides it such that qs:rs is 5:2

What are the corrdinates of s?

Answer 1

S = (-1, -2)

Explanation:

You want the coordinates of S on QR such that QS : SR = 5 : 2. The end points are Q(-11, -12) and R(3, 2).

Dividing point

The coordinates of the dividing point S are the weighted sum of the end point coordinates of Q and R. The weights are the reverse of the division ratio.

S = (2Q +5R)/(2+5)

S = (2(-11, -12) +5(3, 2))/7 = (-22+15, -24 +10)/7 = (-7, -14)/7

S = (-1, -2)