question 9 of 10

what is the point-slope form of a line with slope 6 that contains the point $(1, 2)$?

a. $y - 2 = 6(x - 1)$
b. $y + 2 = 6(x - 1)$
c. $y + 2 = 6(x + 1)$
d. $x + 1 = 6(y + 2)$

Question

question 9 of 10

what is the point-slope form of a line with slope 6 that contains the point $(1, 2)$?

a. $y - 2 = 6(x - 1)$
b. $y + 2 = 6(x - 1)$
c. $y + 2 = 6(x + 1)$
d. $x + 1 = 6(y + 2)$

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" ], "new_concepts": [], "current_concepts": [ "Point-Slope Form", "Linear Equations", "Coordinate Geometry" ] } ## Identify given parameters $$ \begin{aligned} &m = 6\ &(x_1, y_1) = (1, 2) \end{aligned} $$ ## Apply point-slope formula $$ \begin{aligned} &y - y_1 = m(x - x_1)\ &y - 2 = 6(x - 1) \end{aligned} $$

(A) $y - 2 = 6(x - 1)$

(B) $y + 2 = 6(x - 1)$

(C) $y + 2 = 6(x + 1)$

(D) $x + 1 = 6(y + 2)$

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

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QUESTION IMAGE

Question

Explanation:

Identify given parameters

Apply point-slope formula

Answer: