What is the slope of the line that passes through (–1, 7) and (3, –4)?
11/4
–4/11
3/2
2/3
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To find the slope of a line that passes through the points ((-1, 7)) and ( (3, -4)), we use the formula for slope ( m ):
[
m = frac{y_2 – y_1}{x_2 – x_1}
]
Here, ((x_1, y_1) = (-1, 7)) and ((x_2, y_2) = (3, -4)). Now, substitute the values:
[
m = frac{-4 – 7}{3 – (-1)} = frac{-11}{3 + 1} = frac{-11}{4}
]
So, the slope of the line is (-frac{11}{4}). However, from the provided options, it seems there might be a need to further check if you’re looking for a positive or negative interpretation of other options; if guesswork is involved, please refer to options given
None of the provided options match (-frac{11}{4}), so it might be helpful to double-check the list you’ve shared or consider whether there could be a typographical error in options.
To clarify:
The correct calculation gives us the slope as (-frac{11}{4}) which is not in the answer set. For further questions or clarifications, you can check the extended services page.