9. Ind a table belaw, \( y=\frac{3}{4} x \). Determine \( d \) and \( e \). \[ \begin{array}{cccccc} x & 4 & 12 & 16 & e & \\ y & 3 & 9 & d & 15 & {[4]} \end{array} \] a)* b) Is this on example of direct or indirect proportion? Give a reason for yous answer. [3] C) If you plotted the points will it be form a straight line or curve? [i]

**Step 1. Determine \( d \) when \( x = 16 \):** Given the equation \[ y = \frac{3}{4}x, \] substitute \( x = 16 \): \[ y = \frac{3}{4} \times 16 = 12. \] Thus, \[ d = 12. \] **Step 2. Determine \( e \) when \( y = 15 \):** Again, using \[ y = \frac{3}{4}x, \] set \( y = 15 \) and solve for \( x \) (here \( x = e \)): \[ 15 = \frac{3}{4}e. \] Multiply both sides by \(\frac{4}{3}\): \[ e = 15 \times \frac{4}{3} = 20. \] **Step 3. Answer part (b): Direct or Indirect Proportion** The equation \[ y = \frac{3}{4}x \] represents a relationship where \( y \) is directly proportional to \( x \) (i.e., \( y \) changes at a constant rate relative to \( x \) and the graph passes through the origin). Therefore, it is an example of **direct proportion**. **Step 4. Answer part (c): Graph of the points** Since the relationship \( y = \frac{3}{4}x \) is linear, plotting the points will form a **straight line**.