Which is the slope of the line that passes through the points (−2, 4) and (5, −1)?

To find the slope of a line that passes through the points ((-2, 4)) and ( (5, -1)), we can use the slope formula:

[

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

]

Here, ((x_1, y_1) = (-2, 4)) and ((x_2, y_2) = (5, -1)).

Now, substituting the coordinates into the formula:

[

m = frac{-1 – 4}{5 – (-2)} = frac{-1 – 4}{5 + 2} = frac{-5}{7}

]

So, the slope of the line is (-frac{5}{7}).

Therefore, the correct answer is:

slope = (-frac{5}{7})