question 7 of 10

which point lies on the line described by the equation below?

(y + 3 = 2(x - 1))

a. (2, 1)
b. (1, -3)
c. (0, 0)
d. (1, -4)
e. (-1, -6)
f. (2, 9)

Question

question 7 of 10

which point lies on the line described by the equation below?

(y + 3 = 2(x - 1))

a. (2, 1)
b. (1, -3)
c. (0, 0)
d. (1, -4)
e. (-1, -6)
f. (2, 9)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Point-Slope Form", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Point-Slope Form", "Linear Equations", "Coordinate Geometry" ] } ## Identify the point from point-slope form $$ \begin{aligned} &y - y_1 = m(x - x_1) \ &y + 3 = 2(x - 1) \implies y - (-3) = 2(x - 1) \ &(x_1, y_1) = (1, -3) \end{aligned} $$ ## Verify the point by substitution $$ \begin{aligned} &-3 + 3 = 2(1 - 1) \ &0 = 0 \end{aligned} $$

A. (2, 1)

B. (1, -3)

C. (0, 0)

D. (1, -4)

E. (-1, -6)

F. (2, 9)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Point-Slope Form" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the point from point-slope form

Verify the point by substitution

Answer: