find the slope of the line joining two points $(4, -2)$ and $(6, -8)$.

$\bigcirc$ $1/3$

$\bigcirc$ $-3$

Question

find the slope of the line joining two points $(4, -2)$ and $(6, -8)$.

$\bigcirc$ $1/3$

$\bigcirc$ $-3$

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 coordinates of the given points $$ (x_1, y_1) = (4, -2),\quad (x_2, y_2) = (6, -8) $$ ## Apply the slope formula $$ m = \frac{y_2 - y_1}{x_2 - x_1} $$ ## Calculate the value of the slope $$ m = \frac{-8 - (-2)}{6 - 4} = \frac{-8 + 2}{2} = \frac{-6}{2} = -3 $$

(A) $1/3$

(B) $-3$

{ "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 coordinates of the given points

Apply the slope formula

Calculate the value of the slope

Answer: