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", "Slope-Intercept Form" ], "new_concepts": [], "current_concepts": [ "Slope of a Line", "Slope-Intercept Form" ] } ## Identify points on the line $$ (0, -7), \quad (3, -1), \quad (4, 1), \quad (7, 7) $$ ## Calculate the slope $$ m = \frac{1 - (-1)}{4 - 3} = \frac{2}{1} = 2 $$ ## 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": "point", "params": [[4, 1]], "properties": { "name": "(4, 1)", "size": 3, "color": "#8C55F2", "withLabel": true } }, { "type": "functiongraph", "params": [{"js": "2*x - 7", "latex": "y = 2x - 7"}, -8, 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 points on the line

Calculate the slope

Write the equation in slope-intercept form

Answer: