Question

Find the coordinates of the point on the directed segment from (2,1) to (5,7) that divides it into a ratio of 2:1.

a) (3,3)
b) (4,5)
c) (5,4)
d) (2,4)

Answer 1

To find the coordinates of the point on the directed segment that divides it into a ratio of 2:1, use the midpoint formula.

Step-by-step explanation:

To find the coordinates of the point on the directed segment that divides it into a ratio of 2:1, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are given by:

x = (x1 + x2)/2

y = (y1 + y2)/2

In this case, the two points are (2,1) and (5,7). Plugging in these values, we get:

x = (2 + 5)/2 = 3.5

y = (1 + 7)/2 = 4

So, the coordinates of the point that divides the segment into a ratio of 2:1 are (3.5,4). None of the given options match this result, so none of the provided answer choices are correct.