write an equation for the line parallel to the given line that contains c.

$c(4,7)$; $y = -3x + 1$

$y = \square$
(type your answer in slope-intercept form.)

Question

write an equation for the line parallel to the given line that contains c.

$c(4,7)$; $y = -3x + 1$

$y = \square$
(type your answer in slope-intercept form.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope-Intercept Form", "Point-Slope Form" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Point-Slope Form", "Parallel Lines" ] } ## Identify the slope of the parallel line $$ \begin{aligned} &y = -3x + 1 \implies m = -3 \ &m_{\text{parallel}} = -3 \end{aligned} $$ ## Use point-slope form with point C(4,7) $$ \begin{aligned} &y - y_1 = m(x - x_1) \ &y - 7 = -3(x - 4) \end{aligned} $$ ## Convert to slope-intercept form $$ \begin{aligned} &y - 7 = -3x + 12 \ &y = -3x + 19 \end{aligned} $$ Write an equation for the line parallel to the given line that contains C. $C(4,7)$; $y = -3x + 1$ $y =$ $-3x + 19$ (Type your answer in slope-intercept form.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the slope of the parallel line

Use point-slope form with point C(4,7)

Convert to slope-intercept form

Answer: