question 1 of 10

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

a. $y - 8 = -2(x + 4)$
b. $y + 4 = -2(x - 8)$
c. $y + 8 = -2(x - 4)$
d. $y - 4 = -2(x + 8)$

Question

question 1 of 10

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

a. $y - 8 = -2(x + 4)$
b. $y + 4 = -2(x - 8)$
c. $y + 8 = -2(x - 4)$
d. $y - 4 = -2(x + 8)$

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": [ "Point-Slope Form" ], "current_concepts": [ "Linear Equations", "Coordinate Geometry", "Point-Slope Form" ] } ## Identify the given slope and point $$ \begin{aligned} &m = -2\ &(x_1, y_1) = (4, -8) \end{aligned} $$ ## Apply the point-slope formula $$ \begin{aligned} &y - y_1 = m(x - x_1)\ &y - (-8) = -2(x - 4)\ &y + 8 = -2(x - 4) \end{aligned} $$

A. $y - 8 = -2(x + 4)$

B. $y + 4 = -2(x - 8)$

C. $y + 8 = -2(x - 4)$

D. $y - 4 = -2(x + 8)$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given slope and point

Apply the point-slope formula

Answer: