which of these statements accurately describe(s) the points shown?

a. point r has coordinates (-2, 2) and is in quadrant 2.
b. point s has coordinates (3, 2) and is in quadrant 1.
c. a line connecting these points would have a slope of 0.

- a, b, and c
- a and b
- a and c
- c only

Question

which of these statements accurately describe(s) the points shown?

a. point r has coordinates (-2, 2) and is in quadrant 2.
b. point s has coordinates (3, 2) and is in quadrant 1.
c. a line connecting these points would have a slope of 0.

- a, b, and c
- a and b
- a and c
- c only

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": [ "Coordinate Plane", "Slope Formula", "Quadrants" ], "current_concepts": [ "Coordinate Plane", "Slope Formula", "Quadrants" ] } ## Identify the coordinates and quadrants of points r and s $$ \begin{aligned} &\text{Point } r = (-2, 2) \implies \text{Quadrant II (Quadrant 2)} \ &\text{Point } s = (3, 2) \implies \text{Quadrant I (Quadrant 1)} \end{aligned} $$ ## Calculate the slope of the line connecting points r and s $$ \begin{aligned} &m = \frac{y_2 - y_1}{x_2 - x_1} \ &m = \frac{2 - 2}{3 - (-2)} = \frac{0}{5} = 0 \end{aligned} $$ ## Evaluate the given statements $$ \begin{aligned} &\text{Statement A: True (Point } r \text{ is at } (-2, 2) \text{ in Quadrant 2)} \ &\text{Statement B: True (Point } s \text{ is at } (3, 2) \text{ in Quadrant 1)} \ &\text{Statement C: True (The slope is } 0\text{)} \end{aligned} $$

(A) A, B, and C

(B) A and B

(C) A and C

(D) C only

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

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QUESTION IMAGE

Question

Explanation:

Identify the coordinates and quadrants of points r and s

Calculate the slope of the line connecting points r and s

Evaluate the given statements

Answer: