click twice to plot each segment.
click a segment to delete it.

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Linear Equations", "Graphing Lines", "Slope Formula", "Slope-Intercept Form" ], "new_concepts": [ "Equation of a Line" ], "current_concepts": [ "Linear Equations", "Graphing Lines", "Slope Formula", "Slope-Intercept Form", "Equation of a Line" ] } ## Identify points on the line $$ (x_1, y_1) = (0, 8),\quad (x_2, y_2) = (1, 6) $$ ## Calculate the slope $$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 8}{1 - 0} = -2 $$ ## Determine the equation in slope-intercept form $$ \begin{aligned} &b = 8\ &y = -2x + 8 \end{aligned} $$ $y = -2x + 8$ { "elements": [ { "type": "point", "params": [[0, 8]], "properties": { "name": "(0, 8)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[1, 6]], "properties": { "name": "(1, 6)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "functiongraph", "params": [{"js": "-2*x + 8", "latex": "y = -2x + 8"}, -2, 9], "properties": { "strokeColor": "#5583F2", "strokeWidth": 3 } } ] } { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Equation of a Line" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify points on the line

Calculate the slope

Determine the equation in slope-intercept form

Answer: