question 16 of 25

which of the following points are on the line given by the equation $y = \frac{1}{2}x$?

check all that apply.

a. (3, 15)
b. (2, 1)
c. (-2, -1)
d. (4, 2)
e. (-2, 1)
f. (3, 6)

Question

question 16 of 25

which of the following points are on the line given by the equation $y = \frac{1}{2}x$?

check all that apply.

a. (3, 15)
b. (2, 1)
c. (-2, -1)
d. (4, 2)
e. (-2, 1)
f. (3, 6)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Coordinate Geometry" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Coordinate Geometry" ] } ## Substitute coordinates into the equation $$ \begin{aligned} &\text{For } (3, 15): 15 eq \frac{1}{2}(3) \implies 15 eq 1.5 \quad (\text{False})\ &\text{For } (2, 1): 1 = \frac{1}{2}(2) \implies 1 = 1 \quad (\text{True})\ &\text{For } (-2, -1): -1 = \frac{1}{2}(-2) \implies -1 = -1 \quad (\text{True})\ &\text{For } (4, 2): 2 = \frac{1}{2}(4) \implies 2 = 2 \quad (\text{True})\ &\text{For } (-2, 1): 1 eq \frac{1}{2}(-2) \implies 1 eq -1 \quad (\text{False})\ &\text{For } (3, 6): 6 eq \frac{1}{2}(3) \implies 6 eq 1.5 \quad (\text{False}) \end{aligned} $$ ## Identify the correct points $$ \text{Points on the line: } (2, 1), (-2, -1), (4, 2) $$

A. (3, 15)

B. (2, 1)

C. (-2, -1)

D. (4, 2)

E. (-2, 1)

F. (3, 6)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Substitute coordinates into the equation

Identify the correct points

Answer: