find the equation of the line passing through the points $(-2,-4)$ and $(3,-4)$.

\y = ?\

Question

find the equation of the line passing through the points $(-2,-4)$ and $(3,-4)$.

\y = ?\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [], "new_concepts": [ "Slope Formula", "Horizontal Line Equation" ], "current_concepts": [ "Slope Formula", "Horizontal Line Equation", "Linear Equations" ] } ## Calculate the slope of the line $$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - (-4)}{3 - (-2)} = \frac{0}{5} = 0 $$ ## Determine the equation of the line $$ \begin{aligned} y - y_1 &= m(x - x_1) \ y - (-4) &= 0(x - (-2)) \ y + 4 &= 0 \ y &= -4 \end{aligned} $$ Find the equation of the line passing through the points $(-2,-4)$ and $(3,-4)$. $y =$ $-4$ { "elements": [ { "type": "point", "params": [[-2, -4]], "properties": { "name": "(-2, -4)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[3, -4]], "properties": { "name": "(3, -4)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "line", "params": [[-2, -4], [3, -4]], "properties": { "strokeColor": "#5583F2", "strokeWidth": 3, "name": "y = -4", "withLabel": true } } ], "timestamps": [0.5, 1.0] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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Explanation:

Calculate the slope of the line

Determine the equation of the line

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