13-6 exercises
answer each of the following.
1. write an equation in slope-intercept form for the line shown at the right.

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Slope-Intercept Form" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "y-intercept", "Slope Formula" ] } ## Identify the slope and y-intercept Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} &m = -\frac{1}{2}\ &b = 1 \quad \text{from the point } (0, 1) \end{aligned} $$ ## Write the equation of the line Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} &y = mx + b\ &y = -\frac{1}{2}x + 1 \end{aligned} $$ $y = -\frac{1}{2}x + 1$ { "elements": [ { "type": "point", "params": [[0, 1]], "properties": { "name": "(0, 1)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[2, 0]], "properties": { "name": "(2, 0)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "line", "params": [[0, 1], [2, 0]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2 } } ], "timestamps": [0.5, 1.0] } { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the slope and y-intercept

Write the equation of the line

Answer: