what is the point-slope form of a line that has a slope of $-4$ and passes through point $(-3, 1)$?

$y - (-3) = -4(x - 1)$

$y - 1 = -4x - (-3)$

$-1 - y_1 = -4(-3 - x_1)$

$3 - y_1 = -4(1 - x_1)$

Question

what is the point-slope form of a line that has a slope of $-4$ and passes through point $(-3, 1)$?

$y - (-3) = -4(x - 1)$

$y - 1 = -4x - (-3)$

$-1 - y_1 = -4(-3 - x_1)$

$3 - y_1 = -4(1 - x_1)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Point-Slope Form" ], "new_concepts": [], "current_concepts": [ "Point-Slope Form" ] } ## Identify the given values Using the *Point-Slope Form* knowledge point $$ \begin{aligned} &m = -4\ &(x_1, y_1) = (-3, 1) \end{aligned} $$ ## Apply point-slope formula Using the *Point-Slope Form* knowledge point $$ \begin{aligned} &y - y_1 = m(x - x_1)\ &y - 1 = -4(x - (-3))\ &y - 1 = -4[x - (-3)] \end{aligned} $$

(A) $y - (-3) = -4(x - 1)$

(B) $y - 1 = -4[x - (-3)]$

(C) $-1 - y_1 = -4(-3 - x_1)$

(D) $3 - y_1 = -4(1 - x_1)$

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

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Question

Explanation:

Identify the given values

Apply point-slope formula

Answer: