Find the slope of AB

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!

Solution: The formula to calculate the slope ($mm$m) between two points $(x_1,y_1)(x\_1,\; y\_1)$ and $(x_2,y_2)(x\_2,\; y\_2)$ is:

$m=\frac{y_2-y_1}{x_2-x_{\mathrm{1<span\; style="font-size:\; 16px"><span><span></span></span></span><span\; style="font-size:\; 16px"></span>}}}$

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

   $m=\frac{-6-6}{3-(-3)<span></span>}$

2. Simplify the numerator and denominator:

   $m=\frac{-12}{3+3}=\frac{-12}{\mathrm{6<span></span>}}$

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 $-2-2$.