question 10 of 10

the slope of the line below is 4. which of the following is the point-slope form of the line?

a. $y - 4 = 4(x - 3)$
b. $y + 4 = 4(x + 3)$
c. $y - 4 = -4(x - 3)$
d. $y + 4 = -4(x + 3)$

Question

question 10 of 10

the slope of the line below is 4. which of the following is the point-slope form of the line?

a. $y - 4 = 4(x - 3)$
b. $y + 4 = 4(x + 3)$
c. $y - 4 = -4(x - 3)$
d. $y + 4 = -4(x + 3)$

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", "Coordinate Geometry", "Linear Equations" ] } ## Identify the given point and slope $$ \begin{aligned} &m = 4\ &(x_1, y_1) = (-3, -4) \end{aligned} $$ ## Apply the point-slope formula $$ \begin{aligned} &y - y_1 = m(x - x_1)\ &y - (-4) = 4(x - (-3))\ &y + 4 = 4(x + 3) \end{aligned} $$

A. $y - 4 = 4(x - 3)$

B. $y + 4 = 4(x + 3)$

C. $y - 4 = -4(x - 3)$

D. $y + 4 = -4(x + 3)$

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

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QUESTION IMAGE

Question

Explanation:

Identify the given point and slope

Apply the point-slope formula

Answer: