what is the function rule for the linear function in this graph?

slope-intercept form
(y = mx + b)

(y = \frac{?}{}x + )

Question

what is the function rule for the linear function in this graph?

slope-intercept form
(y = mx + b)

(y = \frac{?}{}x + )

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope-Intercept Form", "Slope Formula" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Slope Formula", "Graphing Linear Equations" ] } ## Identify the y-intercept from the graph $$ b = 2 $$ ## Calculate the slope using two points on the line $$ \begin{aligned} &\text{Points: } (-3, 0) \text{ and } (0, 2)\ &m = \frac{2 - 0}{0 - (-3)} = \frac{2}{3} \end{aligned} $$ ## Write the final function rule $$ y = \frac{2}{3}x + 2 $$ What is the function rule for the linear function in this graph? $y =$ $\frac{2}{3}$ $x +$ $2$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the y-intercept from the graph

Calculate the slope using two points on the line

Write the final function rule

Answer: