In what ratio does the X -axis divide the line segment joining the points (-4,-6) and (-1,7) ? Find the coordinates of the points of division.

Explanation

To solve the problem of finding the ratio in which the X-axis divides the line segment joining the points A(-4, -6) and B(-1, 7), we can follow these steps:

### Step 1: Understand the Problem
We need to find the ratio in which the X-axis divides the line segment joining the two points A(-4, -6) and B(-1, 7). The X-axis has a y-coordinate of 0.

### Step 2: Use the Section Formula
Let the ratio in which the X-axis divides the segment AB be \( \lambda : 1 \). According to the section formula, the coordinates of the point dividing the line segment in the ratio \( m:n \) are given by:
\[
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