To find the **x-intercept** of a line, you need to determine the point where the line crosses the x-axis. At this point, the y-coordinate is **0**. 

We already derived the equation of line \( DE \) from part **b(ii)**. Let's go through the steps again to find the x-intercept clearly.

### Steps:

1. **Find the slope of \( DE \)**: 
   - We previously calculated the slope of \( DE \) as \( \frac{7}{12} \).

2. **Find the equation of line \( DE \)**:
   - Using the point-slope form of the equation of a line:
     \[
     y - y_1 = m(x - x_1)
     \]
     where \( m \) is the slope, and \( (x_1, y_1) \) is a point on the line.

   - Let's use point \( D(-4, 2) \) and the slope \( m = \frac{7}{12} \) to write the equation of line \( DE \):
     \[
     y - 2 = \frac{7}{12}(x - (-4)) = \frac{7}{12}(x + 4)
     \]
     Simplifying:
     \[
     y - 2 = \frac{7}{12}x + \frac{7 \times 4}{12} = \frac{7}{12}x + \frac{28}{12} = \frac{7}{12}x + \frac{7}{3}
     \]
     So the equation of line \( DE \) is:
     \[
     y = \frac{7}{12}x + \frac{7}{3} + 2 = \frac{7}{12}x + \frac{13}{3}
     \]

3. **Set \( y = 

This guide explains how to find the x-intercept of a line using the point-slope form of the equation. You'll learn to apply the slope formula and understand key concepts in coordinate geometry. Suitable for high school students in Grades 9-12.

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