The coordinates of point A are (–3, 6) and the coordinates of point B are (3, –6). Find the slope of AB.
A The slope is 2.
B The slope is 0.
C The slope is 1/2.
D The slope is –2.
What is the slope of AB?
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To find the slope of line segment AB connecting points A (–3, 6) and B (3, –6), we can use the slope formula:
[
text{slope} (m) = frac{y_2 – y_1}{x_2 – x_1}
]
Here, ( (x_1, y_1) = (-3, 6) ) and ( (x_2, y_2) = (3, -6) ).
Plugging in the coordinates:
[
m = frac{-6 – 6}{3 – (-3)} = frac{-12}{3 + 3} = frac{-12}{6} = -2
]
So, the slope of AB is –2. Therefore, the correct answer is:
D The slope is –2.
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