The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is Option (c) is correct.
Further explanation:
The coordinates of point that divides the line segment into ratio can be obtained as follows,
Given:
Explanation:
The coordinate of point J is
The coordinate of point K is
Consider the point that divides the line segment into ratio as
The coordinates of point that divides the line segment into ratio can be calculated as follows,
The y-coordinate of the point that divides the directed line segment from J to K into a ratio of is . Option (c) is correct.
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Coordinate Geometry
Keywords: y-coordinate, point, divides the directed line, line segment, J to K, ratio, 2:3 ratio, -6, coordinates.