Question

Coordinates of Point Between A and B: Find the coordinates of the point 103​ of the way from A(-4, -7) to B(10, 5).

A) (0, 1)
B) (2, -3)
C) (3, -2)
D) (6, 2)

Answer 1

To find the coordinates of the point that is 10/3 of the way from A(-4, -7) to B(10, 5), we can use the formula x = (1 - t) * x1 + t * x2 and y = (1 - t) * y1 + t * y2. Substituting the values into the formula, we get x = 6 and y = 2, so the coordinates of the point are (6, 2).

Step-by-step explanation:

To find the coordinates of the point that is 10/3 of the way from A(-4, -7) to B(10, 5), we can use the formula:

x = (1 - t) * x1 + t * x2

y = (1 - t) * y1 + t * y2

Where (x1, y1) are the coordinates of point A, (x2, y2) are the coordinates of point B, and t is the fraction of the distance from A to B that we want to find. Substituting the values into the formula, we get:

x = (1 - 10/3) * -4 + (10/3) * 10

y = (1 - 10/3) * -7 + (10/3) * 5

Simplifying the equations, we get:

x = 6

y = 2

Therefore, the coordinates of the point that is 10/3 of the way from A to B are (6, 2). So the correct answer is D) (6, 2).