find the slope of the line.

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the slope of the line is $m = $ \boxed{ }
(simplify your answer. type an integer or fraction.)
b. the slope is undefined.

Question

find the slope of the line.

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the slope of the line is $m = $ \boxed{ }
(simplify your answer. type an integer or fraction.)
b. the slope is undefined.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Slope and Y-intercept" ], "new_concepts": [ "Slope Formula" ], "current_concepts": [ "Slope and Y-intercept", "Slope Formula" ] } ## Identify points on the line Using the *Slope and Y-intercept* knowledge point $$ \begin{aligned} &\text{Point 1: } (0, 2)\ &\text{Point 2: } (1, -2) \end{aligned} $$ ## Calculate the slope Using the *Slope and Y-intercept* knowledge point $$ \begin{aligned} m &= \frac{y_2 - y_1}{x_2 - x_1}\ m &= \frac{-2 - 2}{1 - 0}\ m &= \frac{-4}{1}\ m &= -4 \end{aligned} $$

A. The slope of the line is m = -4. (Simplify your answer. Type an integer or fraction.)

B. The slope is undefined.

{ "elements": [ { "type": "point", "params": [[0, 2]], "properties": { "name": "(0, 2)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[1, -2]], "properties": { "name": "(1, -2)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "line", "params": [[0, 2], [1, -2]], "properties": { "strokeColor": "#5583F2", "strokeWidth": 3 } } ] } { "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Slope and Y-intercept" ] }

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QUESTION IMAGE

Question

Explanation:

Identify points on the line

Calculate the slope

Answer: