determine the slope:

$-\frac{4}{5}$

$\frac{2}{3}$

$-\frac{3}{2}$

$\frac{5}{4}$

Question

determine the slope:

$-\frac{4}{5}$

$\frac{2}{3}$

$-\frac{3}{2}$

$\frac{5}{4}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Slope Formula", "Linear Graphs" ], "new_concepts": [], "current_concepts": [ "Slope Formula", "Linear Graphs" ] } ## Identify the coordinates of the points Using the *Linear Graphs* knowledge point $$ \begin{aligned} &\text{Point 1: } (-3, 4)\ &\text{Point 2: } (1, 1) \end{aligned} $$ ## Calculate the slope Using the *Slope Formula* knowledge point $$ \begin{aligned} m &= \frac{y_2 - y_1}{x_2 - x_1} \ m &= \frac{1 - 4}{1 - (-3)} \ m &= \frac{-3}{4} = -\frac{3}{4} \end{aligned} $$

(A) $-\frac{4}{5}$

(B) $\frac{2}{3}$

(C) $-\frac{3}{4}$

(D) $\frac{5}{4}$

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

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QUESTION IMAGE

Question

Explanation:

Identify the coordinates of the points

Calculate the slope

Answer: