Which is the slope of the line that passes through the points (−2, 4) and (5, −1)?
slope = 2/3
slope = −7/5
slope = −3
slope = −5/7
Which is the slope of the line that passes through the points (−2, 4) and (5, −1)?
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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})