\( A \) has coordinates \( (11,3 e) \) \( B \) has coordinates \( (1,7 e) \) The midpoint of \( A B \) has coordinates \( (x, y) \) Find an expression for \( y \) in terms of \( e \) Simplify your answer. (2 marks)

To find the midpoint \( (x, y) \) of points \( A(11, 3e) \) and \( B(1, 7e) \), we use the midpoint formula: \[ (x, y) = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Substituting the coordinates of points \( A \) and \( B \): \[ x = \frac{11 + 1}{2} = \frac{12}{2} = 6 \] \[ y = \frac{3e + 7e}{2} = \frac{10e}{2} = 5e \] Thus, the expression for \( y \) in terms of \( e \) is: \[ y = 5e \]