Find the coordinates of the point 3/10 of the way from A to B.

Question

Find the coordinates of the point 3/10 of the way from A to B.

Coordinate B(12,4)

Coordinate A(-4,-7)

Answer 1

-4 to 12 is 16, (3/10)(16) = 4.8, -4 + 4.8 = 0.8

-7 to -4 is 3, (3/10)(3) = 0.9, -7 + 0.9 = -6.1

(0.8, -6.1)

Answer 2

Be careful that this question is written by giving B before A!

Let (Xf, Yf) be point with the final coordinates 3/10 of the way from A to B.

Let A be the point (-4,-7) and B be the point (12,4) in the x-y plane.

Find (Xf, Yf)....

You would add to each coordinate of A 3/10 of its directed distance to B:

Yf = (3/10)(yB - yA) + yA

Xf = (3/10)(xB - xA) + xA

Yf = (3/10)(4 - (- 7)) + -7

Xf = (3/10)(12 - (-4)) + -4

(Xf, Yf) = (24/5 - 4, 33/10 - 7)