question 6 of 10

the slope of the line below is 2. which of the following is the point-slope form of the line?

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

Question

question 6 of 10

the slope of the line below is 2. which of the following is the point-slope form of the line?

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

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", "Coordinate Geometry" ], "new_concepts": [], "current_concepts": [ "Point-Slope Form", "Coordinate Geometry" ] } ## Identify the given point and slope $$ \begin{aligned} &m = 2\ &(x_1, y_1) = (1, -1) \end{aligned} $$ ## Substitute into the point-slope formula $$ \begin{aligned} &y - y_1 = m(x - x_1)\ &y - (-1) = 2(x - 1)\ &y + 1 = 2(x - 1) \end{aligned} $$

A. $y + 1 = -2(x - 1)$

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

C. $y - 1 = -2(x + 1)$

D. $y + 1 = 2(x - 1)$

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

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QUESTION IMAGE

Question

Explanation:

Identify the given point and slope

Substitute into the point-slope formula

Answer: