What is the slope of the line that passes through the points (2, −4) and (8, 0)

To find the slope of the line that passes through the points (2, −4) and (8, 0), you can use the slope formula:

[

text{slope} (m) = frac{y_2 – y_1}{x_2 – x_1}

]

In this case:

– ( (x_1, y_1) = (2, -4) )

– ( (x_2, y_2) = (8, 0) )

Now plug in the values:

[

m = frac{0 – (-4)}{8 – 2} = frac{0 + 4}{6} = frac{4}{6} = frac{2}{3}

]

So, the slope of the line is ( frac{2}{3} ).

The correct answer is ( frac{2}{3} ). Great job on working with these concepts! If you have any more questions, feel free to ask!