For the line segment whose endpoints are X(1, 2) and Y(6, 7), find the x value for the

point located 1/3 the distance from X to Y. (6 points)

O 1) 3.5

2) 3.3

3) 2.7

O4) 2.4

3) 2.7

Step-by-step explanation:

The distance between two points and can be determined by:

Since the points are X(1, 2) and Y(6, 7). The distance between the two points is

the x value for the  point located 1/3 the distance from X to Y,

The x value =

3) x ≈ 2.7  

Step-by-step explanation:

X is at (1,2) and Y is at (6,7)

A point that is ⅓ of the distance from X to Y also divides the differences of the x-and y-coordinates in the same ratio.

For the x-coordinate,

x₂ - x₁ = 7 - 2 = 5

⅓ × 5  = 5/3  

1 + 5/3 = 8/3

The x-coordinate of the point is x = 8/3 ≈ 2.7.

The graph below shows that the point one-third of the distance from X to Y has an x-coordinate of approximately 2.7.

answer: the correct one is a

step-by-step explanation:

answer: a and b

step-by-step explanation: