slope of x+3y=4

{ "query": { "display": "slope $$x+3y=4$$", "symbolab_question": "PRE_CALC#slope x+3y=4" }, "solution": { "level": "PERFORMED", "subject": "Functions & Graphing", "topic": "Line Equations", "subTopic": "Slope", "default": "m=-\\frac{1}{3}", "meta": { "showVerify": true } }, "methods": [ { "method": "Slope using standard form", "query": { "display": "slope $$x+3y=4$$", "symbolab_question": "slope x+3y=4" } }, { "method": "Slope using intercept form", "query": { "display": "slopesnd $$x+3y=4$$", "symbolab_question": "slopesnd x+3y=4" } } ], "steps": { "type": "interim", "title": "Slope of $$x+3y=4:{\\quad}m=-\\frac{1}{3}$$", "steps": [ { "type": "interim", "title": "Slope using standard form:$${\\quad}m=-\\frac{1}{3}$$", "result": "m=-\\frac{1}{3}", "steps": [ { "type": "step", "primary": "Slope $$\\mathbf{m}\\:$$of a line of the form $$\\mathbf{Ax+By=C}\\:$$equals $$\\mathbf{-\\frac{A}{B}}$$", "secondary": [ "$$\\mathbf{A}=1,\\:\\mathbf{B}=3$$" ], "result": "m=-\\frac{1}{3}" } ], "meta": { "interimType": "Slope Standard Selection 0Eq" } } ], "meta": { "solvingClass": "PreCalc" } }, "meta": { "showVerify": true } }