y = -2x + 2
y = -\frac{1}{2}x + 2
y = \frac{1}{2}x + 2
y = 2x + 4

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Functions", "Slope-Intercept Form", "Linear Function Intercepts" ], "new_concepts": [], "current_concepts": [ "Linear Functions", "Slope-Intercept Form", "Linear Function Intercepts" ] } ## Identify the y-intercept from the graph $$ b = 2 $$ ## Identify the x-intercept and calculate the slope $$ \begin{aligned} &\text{x-intercept} = (4, 0)\ &m = \frac{0 - 2}{4 - 0} = -\frac{1}{2} \end{aligned} $$ ## Write the equation in slope-intercept form $$ y = -\frac{1}{2}x + 2 $$

$y = -2x + 2$

$y = -\frac{1}{2}x + 2$

$y = \frac{1}{2}x + 2$

$y = 2x + 4$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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Question

Explanation:

Identify the y-intercept from the graph

Identify the x-intercept and calculate the slope

Write the equation in slope-intercept form

Answer: