Question

For the line segment whose endpoints are x(1, 2) and Y(6, 7), and the x value for the point located 1/3 the distance from X to Y. (6 points)
O 3.5
O 3.3
O 2.7
O 2.4

Answer 1

Answer:

2.7

Step-by-step explanation:

Answer 2

The x value for the point located 1/3 the distance from X to Y is 2.7.

Distance

If point O(x, y) is placed between point A(x₁, y₁) and B(x₂, y₂) at a ratio of n:m, the coordinate of point O is given by:

$x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+x_1$

Therefore the x coordinate of point that is 1/3 the distance from X to Y is:

x = (1/3)(6-1) + 1 = 2.7

The x value for the point located 1/3 the distance from X to Y is 2.7.

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