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

$\bigcirc$ $-4/3$

$\bigcirc$ $-3/4$

Question

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

$\bigcirc$ $-4/3$

$\bigcirc$ $-3/4$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope of a Linear Function" ], "new_concepts": [], "current_concepts": [ "Slope of a Linear Function" ] } ## 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 $$ m = \frac{3}{-4} = -\frac{3}{4} $$

(A) $-4/3$

(B) $-3/4$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Slope of a Linear Function" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given coordinates

Apply the slope formula

Simplify the expression

Answer: