click twice to plot each segment.
click a segment to delete it.

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [], "new_concepts": [ "Linear Equations", "Graphing Lines" ], "current_concepts": [ "Linear Equations", "Graphing Lines", "Slope-Intercept Form" ] } ## Identify key points on the line $$ \begin{aligned} &\text{y-intercept: } (0, -4.3) \approx (0, -\frac{13}{3}) \text{ or similar fractional value}\ &\text{Point 1: } (-6, -3)\ &\text{Point 2: } (6, -5) \end{aligned} $$ ## Calculate the slope $$ \begin{aligned} &m = \frac{-5 - (-3)}{6 - (-6)} = \frac{-2}{12} = -\frac{1}{6} \end{aligned} $$ ## Determine the equation of the line $$ \begin{aligned} &y - (-3) = -\frac{1}{6}(x - (-6))\ &y + 3 = -\frac{1}{6}x - 1\ &y = -\frac{1}{6}x - 4 \end{aligned} $$ The equation of the plotted line is: $$y = -\frac{1}{6}x - 4$$ { "elements": [ { "type": "line", "params": [[-6, -3], [6, -5]], "properties": { "strokeColor": "#5583F2", "strokeWidth": 3, "straightFirst": true, "straightLast": true } }, { "type": "point", "params": [[-6, -3]], "properties": { "name": "(-6, -3)", "size": 3, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[6, -5]], "properties": { "name": "(6, -5)", "size": 3, "color": "#8C55F2", "withLabel": true } } ] } { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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Question

Explanation:

Identify key points on the line

Calculate the slope

Determine the equation of the line

Answer: