y = -6x + 3

click to select points on the graph.

Question

y = -6x + 3

click to select points on the graph.

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", "Graphing Linear Equations" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Graphing Linear Equations" ] } ## Identify the y-intercept Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} &y = mx + b \ &m = -6, \quad b = 3 \ &\text{Point: } (0, 3) \end{aligned} $$ ## Find a second point using slope Using the *Graphing Linear Equations* knowledge point $$ \begin{aligned} &\text{Slope } (m) = \frac{\Delta y}{\Delta x} = -6 = \frac{-6}{1} \ &x = 0 + 1 = 1 \ &y = 3 - 6 = -3 \ &\text{Point: } (1, -3) \end{aligned} $$ To graph the equation $y = -6x + 3$, select the following two points on the coordinate grid: * **$y$-intercept:** $(0, 3)$ * **Second point:** $(1, -3)$ { "elements": [ { "type": "point", "params": [[0, 3]], "properties": { "name": "(0, 3)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[1, -3]], "properties": { "name": "(1, -3)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "line", "params": [[0, 3], [1, -3]], "properties": { "strokeColor": "#5583F2", "strokeWidth": 2 } } ] } { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Graphing Linear Equations" ] }

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Question

Explanation:

Identify the y-intercept

Find a second point using slope

Answer: