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write an equation in slope intercept form for the line that contains the point (-3, -4) and is parallel to the line y = -5x -2.

Question

you try!

write an equation in slope intercept form for the line that contains the point (-3, -4) and is parallel to the line y = -5x -2.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [], "new_concepts": [ "Parallel Lines Slope", "Slope-Intercept Form", "Point-Slope Equation" ], "current_concepts": [ "Parallel Lines Slope", "Slope-Intercept Form", "Point-Slope Equation" ] } ## Determine the slope of the parallel line $$ \begin{aligned} &y = -5x - 2 \implies m_1 = -5 \ &m_2 = m_1 = -5 \end{aligned} $$ ## Use point-slope form with the given point $$ \begin{aligned} &(x_1, y_1) = (-3, -4) \ &y - y_1 = m(x - x_1) \ &y - (-4) = -5(x - (-3)) \ &y + 4 = -5(x + 3) \end{aligned} $$ ## Convert to slope-intercept form $$ \begin{aligned} &y + 4 = -5x - 15 \ &y = -5x - 19 \end{aligned} $$ $y = -5x - 19$ { "elements": [ { "type": "functiongraph", "params": [{"js": "-5*x - 2", "latex": "y = -5x - 2"}, -10, 10], "properties": { "strokeColor": "#5583F2", "strokeWidth": 2, "name": "y = -5x - 2", "withLabel": true } }, { "type": "functiongraph", "params": [{"js": "-5*x - 19", "latex": "y = -5x - 19"}, -10, 10], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2, "name": "y = -5x - 19", "withLabel": true } }, { "type": "point", "params": [[-3, -4]], "properties": { "name": "(-3, -4)", "size": 4, "color": "#F2557F", "strokeColor": "#F2557F", "fillColor": "#F2557F", "withLabel": true } } ] } { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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QUESTION IMAGE

Question

Explanation:

Determine the slope of the parallel line

Use point-slope form with the given point

Convert to slope-intercept form

Answer: