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1 Calculate the gradient of BG. The coordinates of B are (-3, -4) and G are (-1, 0). 1.2 Determine the equation of AB in the form y

Mathematics

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Here are the solutions to your analytical geometry problems.

1.1 Calculate the gradient of BG.
The coordinates of B are (−3,−4)(-3, -4) and G are (−1,0)(-1, 0).

Step 1: Use the gradient formula m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2-x_1}.

mBG=0−(−4)−1−(−3)m_{BG} = \frac{0 - (-4)}{-1 - (-3)} mBG=4−1+3m_{BG} = \frac{4}{-1 + 3} mBG=42m_{BG} = \frac{4}{2} mBG=2m_{BG} = 2

The gradient of BG is 2\boxed{2}.

**1.2 Determine the equation of AB in the form $y

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