Question

what is the slope of this line?
simplify your answer completely.
slope = -\frac{4}{?}
slope: \frac{rise}{run}

Explanation:

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<reasoning>

Identify points on the line

\[
(x_1, y_1) = (0, 1)
\]
\[
(x_2, y_2) = (1, -3)
\]

Calculate rise and run

\[
\text{rise} = y_2 - y_1 = -3 - 1 = -4
\]
\[
\text{run} = x_2 - x_1 = 1 - 0 = 1
\]

Determine the missing value

\[
\text{Slope} = \frac{\text{rise}}{\text{run}} = \frac{-4}{1} = -\frac{4}{1}
\]
</reasoning>

<answer>
What is the slope of this line?

Simplify your answer completely.

Slope = \(-\frac{4}{\text{1}}\)
</answer>

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"question_type": "Fill-in-the-blank",
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"Mathematics",
"Algebra",
"Slope Formula"
]
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Answer:

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<reasoning>

Identify points on the line

\[
(x_1, y_1) = (0, 1)
\]
\[
(x_2, y_2) = (1, -3)
\]

Calculate rise and run

\[
\text{rise} = y_2 - y_1 = -3 - 1 = -4
\]
\[
\text{run} = x_2 - x_1 = 1 - 0 = 1
\]

Determine the missing value

\[
\text{Slope} = \frac{\text{rise}}{\text{run}} = \frac{-4}{1} = -\frac{4}{1}
\]
</reasoning>

<answer>
What is the slope of this line?

Simplify your answer completely.

Slope = \(-\frac{4}{\text{1}}\)
</answer>

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"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
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"Mathematics",
"Algebra",
"Slope Formula"
]
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