Math Problem Statement

Find the ratio in which the line segment joining the points (5,3) and (-1,6) is divided by Y-axis.

Solution

To find the ratio in which the line segment joining the points A(5,3)A(5,3) and B(1,6)B(-1,6) is divided by the Y-axis, we can use the section formula.

Steps:

  1. Since the Y-axis divides the line segment, the point dividing it will have x=0x = 0 (as all points on the Y-axis have x=0x = 0).
  2. Let the required ratio be m:nm:n. The coordinates of the point dividing the

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Section Formula

Formulas

Section Formula: (mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)

Theorems

Section Formula in Coordinate Geometry

Suitable Grade Level

Grades 9-10