Question

What point divides the line segment between (10,-2) and (-6,6) into a ratio of 5:3

Answer 1

Answer: (0,3)

Step-by-step explanation:

You follow the formulas to find the x and y of the dividing points.

Xp= x1+ a/a+b (x2-x1)

Xp= 10+5/5+3(-6-10)

Xp=10+5/8(-16)

Solve the problem above and you end up with “0” as your x.

Yp= y1+ a/a+b (y2-y1)

Yp= -2+ 5/8 (6+2)

Yp= -2+ 5/8 (8)

Solve this problem above and you end up with “3” as your y. Therefore, the point that divides the line segment between (10, -2) and (-6,6) into a ratio of 5:3 is (0, 3).