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What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 using the formula: y = (m/m+n)(y-sub-2 - y-sub-1) + y-sub-1?

User Heinrisch
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Final answer:

The question pertains to finding the y-coordinate of a point dividing a line segment in a given ratio in the field of coordinate geometry, which is a High School level mathematics concept. The given formula relates to the division of a segment on a graph, and the variables m and n represent the ratio, while y1 and y2 are the y-coordinates of the segment's endpoints.

Step-by-step explanation:

The student is asking about the y-coordinate of a point that divides a line segment in a specific ratio, which is a concept from mathematics. The provided formula, y = (m/m+n)(y2 - y1) + y1, is used in the context of coordinate geometry, specifically when dealing with section or partition points on a line segment. The variables represent the following: m and n are the ratio in which the line segment is divided, y1 and y2 are the y-coordinates of the endpoints of the line segment, and y would then be the y-coordinate of the point that divides the segment.

In the context of straight-line equations represented by y = mx + b, m represents the slope of the line (rise over run), and b stands for the y-intercept, which is the point where the line crosses the vertical y-axis. While this straight-line equation is foundational in learning about linear relationships in algebra, it is not directly applicable for figuring out the y-coordinate of a point dividing a line segment in a given ratio, which is what the question is asking for.

User Trixtur
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