https://file.aiquickdraw.com/mathbot/file/1728307191306rbhhn7i7.jpg

Let's solve Question 89 from the image.

### Problem Breakdown:
- We are given that line segment \( AB \) intersects the y-axis at \( C \) and the x-axis at \( D \).
- The coordinates of \( A \) are \( (-2, 6) \).
- The ratio \( AC:AD = 1:4 \), and \( D \) is the midpoint of \( CB \), where \( B \) has coordinates \( (p, q) \).

We are asked to find the coordinates of \( C \), \( D \), and \( B \).

### Step-by-step Solution

In the given figure, if the line segment AB is intercepted by the y-axis and x-axis at C and D, respectively, such that AC: AD = 1: 4 and D is the midpoint of CB. Find the coordinates of D, C and B.

Learn how to find the coordinates of points on a line segment intercepted by the axes using ratio and midpoint concepts. This problem involves finding the coordinates of points D, C, and B when given certain ratios and midpoint relationships. Suitable for Grades 9-10.

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