Question

find the slope of the line joining two points (-5, 1) and (4, -2).

-3

\frac{-1}{3}

Explanation:

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<reasoning>

Identify the coordinates of the given points

\[
(x_1, y_1) = (-5, 1),\quad (x_2, y_2) = (4, -2)
\]

Apply the slope formula

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Calculate the slope value

\[
m = \frac{-2 - 1}{4 - (-5)} = \frac{-3}{9} = \frac{-1}{3}
\]
</reasoning>

<answer>
<mcq-option>-3</mcq-option>
<mcq-correct>\(\frac{-1}{3}\)</mcq-correct>
</answer>

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Answer:

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<reasoning>

Identify the coordinates of the given points

\[
(x_1, y_1) = (-5, 1),\quad (x_2, y_2) = (4, -2)
\]

Apply the slope formula

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Calculate the slope value

\[
m = \frac{-2 - 1}{4 - (-5)} = \frac{-3}{9} = \frac{-1}{3}
\]
</reasoning>

<answer>
<mcq-option>-3</mcq-option>
<mcq-correct>\(\frac{-1}{3}\)</mcq-correct>
</answer>

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