Question

find the slope of the line joining two points \\((5, 3)\\) and \\((1, 6)\\).

\\(\bigcirc\\) \\(-4/3\\)

\\(\bigcirc\\) \\(-3/4\\)

Explanation:

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<reasoning>

Identify the given coordinates

\[
(x_1, y_1) = (5, 3),\quad (x_2, y_2) = (1, 6)
\]

Apply the slope formula

\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 3}{1 - 5}
\]

Simplify the expression

\[
m = \frac{3}{-4} = -\frac{3}{4}
\]
</reasoning>

<answer>
<mcq-option>(A) \(-4/3\)</mcq-option>
<mcq-correct>(B) \(-3/4\)</mcq-correct>
</answer>

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Answer:

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<reasoning>

Identify the given coordinates

\[
(x_1, y_1) = (5, 3),\quad (x_2, y_2) = (1, 6)
\]

Apply the slope formula

\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 3}{1 - 5}
\]

Simplify the expression

\[
m = \frac{3}{-4} = -\frac{3}{4}
\]
</reasoning>

<answer>
<mcq-option>(A) \(-4/3\)</mcq-option>
<mcq-correct>(B) \(-3/4\)</mcq-correct>
</answer>

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