3. write the equation of the line below in slope-intercept form.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Slope of a Line", "Graphing Linear Equations" ], "new_concepts": [ "Slope-Intercept Form" ], "current_concepts": [ "Slope of a Line", "Graphing Linear Equations", "Slope-Intercept Form" ] } ## Identify the y-intercept from the graph $$ b = -7 $$ ## Determine the slope using two points on the line $$ \begin{aligned} &\text{Points: } (0, -7) \text{ and } (3, -1)\ &m = \frac{-1 - (-7)}{3 - 0} = \frac{6}{3} = 2 \end{aligned} $$ ## Write the equation in slope-intercept form $$ \begin{aligned} &y = mx + b\ &y = 2x - 7 \end{aligned} $$ $y = 2x - 7$ { "elements": [ { "type": "point", "params": [[0, -7]], "properties": { "name": "(0, -7)", "size": 3, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[3, -1]], "properties": { "name": "(3, -1)", "size": 3, "color": "#8C55F2", "withLabel": true } }, { "type": "functiongraph", "params": [{"js": "2*x - 7", "latex": "y = 2x - 7"}, -2, 8], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2 } } ] } { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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Explanation:

Identify the y-intercept from the graph

Determine the slope using two points on the line

Write the equation in slope-intercept form

Answer: