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 given the coordinates of point A as (-3, 6) and the coordinates of point B as (3, -6)?
Share
To find the slope of the line connecting points A and B, we can use the slope formula:
[
text{slope} (m) = frac{y_2 – y_1}{x_2 – x_1}
]
Here, the coordinates of point A are ((x_1, y_1) = (-3, 6)) and the coordinates of point B are ((x_2, y_2) = (3, -6)).
Now, let’s plug in the values:
[
m = frac{-6 – 6}{3 – (-3)} = frac{-12}{3 + 3} = frac{-12}{6} = -2
]
The slope of line AB is –2.
So, the correct answer is D. Great job on working through this! If you have more questions, feel free to ask!