College

You and your friend are playing a game of checkers. There are only two pieces left on the board.

Find the coordinates of point P along the line segment connecting the black and white checkers so that the ratio of the distance between the black checker and P to the distance between P and the white checker is 2 to 1.

Answer :

Coordinates are the x and y values in the ordered pair (x, y). The coordinates of P are then P(5, 4).

What is meant by coordinates?

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. Typically expressed by the x-value and y-value pair (x, y).

A coordinate graph's location is represented as an ordered pair (x, y), where x is the number on the x-axis and y is the number on the y-axis that the point lines up with. Coordinates are the x and y values in the ordered pair (x, y).

The blank checker is located at B(1, 6) and the white checker is located at W(7, 3). If BP : PW = 2 : 1, then BP = 2/3 (BW).

Therefore, the vertical distance between B(1, 6) and W(7, 3) exists 6 - 3 = 3. So P must be 2/3 (3) = 2 units below B. The y-coordinate of P exists then 6 - 2 = 4.

The horizontal distance between B(1, 6) and W(7, 3) exists 7 - 1= 6. So P must be 2/3 (6) = 4 units to the right of B. The x-coordinate of P exists then 1 + 4 = 5.

The coordinates of P are then P(5, 4).

To learn more about the coordinates refer to:

https://brainly.com/question/12959377

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