write the equation of the line in slope-intercept form $y = mx + b$.

two (2) points on the line = $(8, -4)$ and $(-4, 8)$

answer:

$y =$

Question

write the equation of the line in slope-intercept form $y = mx + b$.

two (2) points on the line = $(8, -4)$ and $(-4, 8)$

answer:

$y =$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Slope-Intercept Form" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Linear Equations Solving" ] } ## Calculate the slope of the line $$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - (-4)}{-4 - 8} = \frac{12}{-12} = -1 $$ ## Find the y-intercept $$ \begin{aligned} y &= mx + b \ 8 &= -1(-4) + b \ 8 &= 4 + b \ b &= 4 \end{aligned} $$ ## Write the equation in slope-intercept form $$ y = -x + 4 $$ Write the equation of the line in slope-intercept form ($y = mx + b$). Two (2) points on the line = $(8, -4)$ and $(-4, 8)$ Answer: $y =$ $-x + 4$ { "elements": [ { "type": "point", "params": [[8, -4]], "properties": { "name": "(8, -4)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[-4, 8]], "properties": { "name": "(-4, 8)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "line", "params": [[8, -4], [-4, 8]], "properties": { "strokeColor": "#5583F2", "strokeWidth": 2 } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Slope-Intercept Form" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the slope of the line

Find the y-intercept

Write the equation in slope-intercept form

Answer: