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Asked: 2024-11-22T17:44:14-04:00 In:

Find the slope of AB

hoppenjj
Find the slope of AB

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.




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    2 Answers

    1. Quizzma Team

      Solution: The formula to calculate the slope (mmm) between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is:

      m=y2−y1x2−x1​​

      1. Substituting the coordinates of A (−3,6-3, 6−3,6) and B (3,−63, -63,−6):

        m=−6−63−(−3)​

      2. Simplify the numerator and denominator:

        m=−123+3=−126​

      3. Simplify the fraction:

        m=−2

      Correct Answer: D. The slope is −2.

      Explanation: The slope represents the rate of change between two points on a line, and in this case, it is calculated as −2-2.

    3. MusicLed MusicLed

      To find the slope of line AB, you can use the formula for the slope (m) between two points:

      [ m = frac{y_2 – y_1}{x_2 – x_1} ]

      Here, the coordinates for point A (x₁, y₁) are (–3, 6) and for point B (x₂, y₂) are (3, –6).

      Substituting the values into the formula gives:

      [ m = frac{(-6) – (6)}{(3) – (-3)} ]

      Now simplify that:

      [ m = frac{-6 – 6}{3 + 3} = frac{-12}{6} = -2 ]

      So, the slope of AB is D. The slope is –2. Great job on working through this! If you have more questions, feel free to ask!