Question

Point A is at (-7,5) and point is at (5,-1).

Find the coordinates of point Bon AC such that AB is 5 times longer than BC.
B=(
Show Calculator
R

Answer 1

Answer: (3,0)

Step-by-step explanation: Point A is at (-7,5) and C is at (5-1). The horizontal displacement of AC is : 5-(-7)=12 If the horizontal displacement from A to C is 12 then horizontal displacement from A to B is 10. So point B is 10 units to the right of point A. The vertical displacement from A to C is -6, then the vertical displacement from A to B is -5. So point B is 5 units down from point A. Point A was at (-7,5) and point B is 10 units to the right and 5 units down from point A. B= (-7+10,5-5) = (3,0). The coordinates of B are (3,0).

Answer 2

B = (3, 5)

Explanation:

Point A is at (-7,5) and point C is at (5,-1). Find the coordinates of point B on AC such that AB is 5 times longer than BC. Then, B split AC in a 5:1 ratio.

rise = yC - yA = -1 - 5 = -6

run = xC - xA = 5 - (-7) = 12

c = 5/(5+1) = 5/6

B = (xA + c*run, yA + c*rise)

B = (-7 + 5/6*12, 5 + 5/6*-6)

B = (3, 5)