determine the slope of the line:

$-\frac{3}{2}$

$-\frac{5}{3}$

$-5$

$\frac{3}{5}$

Question

determine the slope of the line:

$-\frac{3}{2}$

$-\frac{5}{3}$

$-5$

$\frac{3}{5}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Slope Formula", "Linear Graphs" ], "current_concepts": [ "Slope Formula", "Linear Graphs" ] } ## Identify coordinates of the two highlighted points $$ \begin{aligned} &\text{Point 1: } (x_1, y_1) = (-1, 3) \ &\text{Point 2: } (x_2, y_2) = (2, -2) \end{aligned} $$ ## Apply the slope formula $$ \begin{aligned} m &= \frac{y_2 - y_1}{x_2 - x_1} \ m &= \frac{-2 - 3}{2 - (-1)} \ m &= \frac{-5}{3} = -\frac{5}{3} \end{aligned} $$

(A) $-\frac{3}{2}$

(B) $-\frac{5}{3}$

(C) $-5$

(D) $\frac{3}{5}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Slope Formula" ] }

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QUESTION IMAGE

Question

Explanation:

Identify coordinates of the two highlighted points

Apply the slope formula

Answer: