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What is the coordinate of the point 2/3 the distance from J to L?

a) (2/3J, 2/3L)
b) (2/3, 2/3)
c) (J/3, L/3)
d) (L/3, J/3)

1 Answer

5 votes

Final answer:

Without the coordinates of points J and L, it's impossible to provide the correct answer for the coordinate of a point 2/3 the distance from J to L. We require both points' coordinates to apply the section formula in coordinate geometry and find the coordinate.

Step-by-step explanation:

The student's question pertains to finding the coordinate of a point that is a certain fraction of the distance between two other points. However, the correct answer to this type of question cannot be determined without additional information. To find the coordinate 2/3 the distance from point J to point L on a straight line, you need to know the coordinates of points J and L and apply the formula for the point that divides a segment into a specific ratio (also known as the section formula in coordinate geometry).

The formula you would generally use is M = (1 - t)J + tL, where M is the coordinate of the point, J is the start point, t is the fraction of the distance from J to L (in this case, t = 2/3), and L is the end point. Without the specific coordinates for J and L, it's not possible to provide the exact coordinate for the point.

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