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]

To find the values for \( d \) and \( e \) using the equation \( y = \frac{3}{4} x \): 1. **For \( x = 16 \)**: \[ y = \frac{3}{4} \times 16 = 12 \implies d = 12 \] 2. **For \( y = 15 \)**: \[ 15 = \frac{3}{4} e \implies e = \frac{15 \times 4}{3} = 20 \] Thus, \( d = 12 \) and \( e = 20 \). b) This is an example of direct proportion because as \( x \) increases, \( y \) increases proportionally. The consistent ratio of \( \frac{y}{x} \) remains constant at \( \frac{3}{4} \), meaning for any increase in \( x \), \( y \) increases at a fixed rate. C) If you plotted the points, they would form a straight line. This is characteristic of direct proportional relationships. For every increase in \( x \), \( y \) increases in a constant ratio, which results in a linear graph where the slope represents that constant multiplier.