Question

Find the coordinates of the point 7/10 of the way from A to B

Answer 1

Answer:

  (6.8, 1.3)

Step-by-step explanation:

Given:

  A(-3, -5), B(11, 4)

Find:

  P such that AP/AB = 7/10

Solution:

Using the desired relation, we have ...

  (P -A)/(B -A) = 7/10

  10(P -A) = 7(B -A) . . . . . multiply by 10(B-A)

  10P = 7B +3A . . . . . . . . add 10A to both sides

  10P = 7(11, 4) +3(-3, -5) = (77 -9, 28 -15) = (68, 13)

  P = (68, 13)/10 = (6.8, 1.3)

The point 7/10 of the way from A to B is (6.8, 1.3).