find an equation for the line below.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [], "new_concepts": [ "Slope-Intercept Form", "Linear Equations" ], "current_concepts": [ "Slope-Intercept Form", "Linear Equations" ] } ## Identify points on the line $$ (x_1, y_1) = (-5, -1),\quad (x_2, y_2) = (3, -3) $$ ## Calculate the slope $$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - (-1)}{3 - (-5)} = \frac{-2}{8} = -\frac{1}{4} $$ ## Determine the line equation $$ \begin{aligned} y - y_1 &= m(x - x_1) \ y - (-1) &= -\frac{1}{4}(x - (-5)) \ y + 1 &= -\frac{1}{4}x - \frac{5}{4} \ y &= -\frac{1}{4}x - \frac{9}{4} \end{aligned} $$ Find an equation for the line below. $y = -\frac{1}{4}x - \frac{9}{4}$ { "elements": [ { "type": "point", "params": [[-5, -1]], "properties": { "name": "(-5, -1)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[3, -3]], "properties": { "name": "(3, -3)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "line", "params": [[-5, -1], [3, -3]], "properties": { "strokeColor": "#5583F2", "strokeWidth": 2 } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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Explanation:

Identify points on the line

Calculate the slope

Determine the line equation

Answer: