Calculate the gradient of BD, given points B(-14, -10) and D(8, -4).

Okay, Two, let's break down these geometry problems. I'll proceed with the interpretation that the diagram's labels for points A (on x-axis) and B ($(-14, -10)$) are correct, and the text "A(-14, -10)" is a typo for B.

3.1 Calculate the gradient of BD.
Given points $B(-14, -10)$ and $D(8, -4)$.

Step 1: Use the gradient formula $m = \frac{y_2 - y_1}{x_2 - x_1}$.

$$m_{BD} = \frac{-4 - (-10)}{8 - (-14)}$$ $$$$