the function rule for this graph is

$y = \quadx + \quad$

Question

the function rule for this graph is

$y = \quadx + \quad$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Functions" ], "new_concepts": [], "current_concepts": [ "Linear Functions", "Slope-Intercept Form" ] } ## Identify key points from the graph $$ \begin{aligned} &\text{y-intercept: } (0, 3) \ &\text{x-intercept: } (4, 0) \end{aligned} $$ ## Calculate the slope $$ m = \frac{0 - 3}{4 - 0} = -\frac{3}{4} $$ ## Write the equation in slope-intercept form $$ y = -\frac{3}{4}x + 3 $$ The function rule for this graph is $y =$ $-\frac{3}{4}$ $x +$ $3$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Identify key points from the graph

Calculate the slope

Write the equation in slope-intercept form

Answer: