Question

"There are two endpoints called F and T. F is located at (8,-1). T is located at (-2,9).

Select a coordinate pair for a point that partitions segment FT in the ratio of 3:7 from point to point T.
A. (1,6)
B. (5,2)
C. (7,0)
D. (3,4)
E. (4.3)
E (6,1)
G. (2,5)"

Answer 1

To find the coordinate pair that partitions segment FT in the ratio of 3:7 from point T, you can use the formula for dividing a line segment into a given ratio. The coordinate pair that partitions segment FT in the ratio of 3:7 from point T is (2, 5).

Step-by-step explanation:

To find the coordinate pair that partitions segment FT in the ratio of 3:7 from point T, we can use the formula for dividing a line segment into a given ratio. Let's label the coordinate pair we need to find as P. The x-coordinate of P can be found using the formula: xP = ((7 * xT) + (3 * xF)) / 10.

Substituting the given values, we get xP = ((7 * -2) + (3 * 8)) / 10 = 2. For the y-coordinate of P, we can use the formula: yP = ((7 * yT) + (3 * yF)) / 10. Substituting the given values, we get yP = ((7 * 9) + (3 * -1)) / 10 = 5. Therefore, the coordinate pair that partitions segment FT in the ratio of 3:7 from point T is (2, 5).