question 21 of 25

what is the point-slope equation of a line with slope -3 that contains the point (-8, -4)?

a. $y - 4 = -3(x + 8)$
b. $y - 4 = -3(x - 8)$
c. $y + 4 = -3(x - 8)$
d. $y + 4 = -3(x + 8)$

Question

question 21 of 25

what is the point-slope equation of a line with slope -3 that contains the point (-8, -4)?

a. $y - 4 = -3(x + 8)$
b. $y - 4 = -3(x - 8)$
c. $y + 4 = -3(x - 8)$
d. $y + 4 = -3(x + 8)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Point-Slope Form" ], "new_concepts": [], "current_concepts": [ "Point-Slope Form" ] } ## State the point-slope formula $$ y - y_1 = m(x - x_1) $$ ## Substitute the given values $$ \begin{aligned} &m = -3 \ &(x_1, y_1) = (-8, -4) \ &y - (-4) = -3(x - (-8)) \end{aligned} $$ ## Simplify the signs $$ y + 4 = -3(x + 8) $$

A. $y - 4 = -3(x + 8)$

B. $y - 4 = -3(x - 8)$

C. $y + 4 = -3(x - 8)$

D. $y + 4 = -3(x + 8)$

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

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QUESTION IMAGE

Question

Explanation:

State the point-slope formula

Substitute the given values

Simplify the signs

Answer: