ABCD is a rectangle. A(1, 4), B(-3, -4), C(2, k), D(x, y), G(-1, 0). Gradient of AB is 2. Calculate k.

here are the solutions for the remaining parts of the problem.

First, let's recap the given information and previous results:
A$(1, 4)$
B$(-3, -4)$
C$(2, k)$
D$(x, y)$
G$(-1, 0)$ (from diagram)
H is the x-intercept of DC.
ABCD is a rectangle.

From previous steps:

• Gradient of AB ($m_{AB}$) = 2
• Equation of AB: $y = 2x + 2$

1.3 Calculate the value of k (y-coordinate of C).
Since ABCD is a rectangle, adjacent sides are perpendicular. Therefore, AB