is the slope of this line positive or negative?
a) positive
b) negative
enter a or b.

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope Direction" ], "new_concepts": [], "current_concepts": [ "Slope Direction", "Graphing Linear Equations" ] } ## Identify points on the line from the graph $$ \begin{aligned} &\text{Point 1: } (0, 1) \ &\text{Point 2: } (4, 0) \end{aligned} $$ ## Calculate the slope using the slope formula $$ \begin{aligned} &m = \frac{y_2 - y_1}{x_2 - x_1} \ &m = \frac{0 - 1}{4 - 0} \ &m = -\frac{1}{4} \end{aligned} $$ ## Determine the sign of the slope $$ \begin{aligned} &-\frac{1}{4} < 0 \implies \text{negative} \end{aligned} $$

a) positive

b) negative

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

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Question

Explanation:

Identify points on the line from the graph

Calculate the slope using the slope formula

Determine the sign of the slope

Answer: