find the function which is perpendicular to $2y = -8x + 2$.

$y = -4x + 8$
$y = 1/4x + 8$
$y = -1/4x + 8$
all of the choices

Question

find the function which is perpendicular to $2y = -8x + 2$.

$y = -4x + 8$
$y = 1/4x + 8$
$y = -1/4x + 8$
all of the choices

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": [ "Slope-Intercept Form", "Parallel and Perpendicular Lines" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Parallel and Perpendicular Lines", "Linear Equations" ] } ## Find slope of given line Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} 2y &= -8x + 2 \ y &= -4x + 1 \end{aligned} $$ The slope $m_1$ is $-4$. ## Determine perpendicular slope Using the *Parallel and Perpendicular Lines* knowledge point $$ \begin{aligned} m_2 &= -\frac{1}{m_1} \ m_2 &= -\frac{1}{-4} = \frac{1}{4} \end{aligned} $$ ## Identify matching function Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} y &= \frac{1}{4}x + 8 \end{aligned} $$ This equation has the required slope of $\frac{1}{4}$.

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

(B) $y = 1/4x + 8$

(C) $y = -1/4x + 8$

(D) All of the choices

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Parallel and Perpendicular Lines" ] }

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QUESTION IMAGE

Question

Explanation:

Find slope of given line

Determine perpendicular slope

Identify matching function

Answer: