Question

Bob draws a line segment from point M (4,5) to point n (10,4) what are the coordinates of the points that divide the line into 3 equal segments: answer is 2 sets of coordinates

a) (5,5) and (7,4)
b) (4.5,4.33) and (7,4)
c) (5,4.33) and (8,4)
d) (4.5,4.33) and (7.5,4)

Answer 1

The coordinates of the points that divide the line segment into three equal segments are (5.5, 4.75) and (7, 4).

Step-by-step explanation:

To find the coordinates that divide the line segment into three equal segments, you can use the midpoint formula.

The midpoint formula is given by:

x = (x1 + x2) / 2

y = (y1 + y2) / 2

Let's apply this formula to the given line segment from point M (4,5) to point N (10,4).

Step 1: Calculate the midpoint between M and N.

x = (4 + 10) / 2 = 7

y = (5 + 4) / 2 = 4.5

The midpoint is (7, 4.5).

Step 2: Calculate the midpoint between M and (7, 4.5).

x = (4 + 7) / 2 = 5.5

y = (5 + 4.5) / 2 = 4.75

The coordinates of the points that divide the line into three equal segments are (5.5, 4.75) and (7, 4).