question 5 of 10

which of the following graphs represents the equation $y = 3x + 2$?

a. graph a
b. graph b
c. graph c
d. graph d

Question

question 5 of 10

which of the following graphs represents the equation $y = 3x + 2$?

a. graph a
b. graph b
c. graph c
d. graph d

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Linear Equations", "Coordinate Geometry" ] } ## Identify the y-intercept of the equation $$ \begin{aligned} &y = 3x + 2 \ &\text{y-intercept: } (0, 2) \end{aligned} $$ ## Test the points on the candidate graphs with y-intercept (0, 2) $$ \begin{aligned} &\text{Graph B passes through } (0, 2) \text{ and } (2, 0): \ &\quad m = \frac{0 - 2}{2 - 0} = -1 e 3 \ &\text{Graph C passes through } (0, 2) \text{ and } (-1, -1): \ &\quad m = \frac{-1 - 2}{-1 - 0} = 3 \end{aligned} $$ ## Verify the correct graph $$ \text{Graph C represents } y = 3x + 2 $$

A. Graph A

B. Graph B

C. Graph C

D. Graph D

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Coordinate Geometry" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the y-intercept of the equation

Test the points on the candidate graphs with y-intercept (0, 2)

Verify the correct graph

Answer: