{ "query": { "display": "line $$θ=\\frac{4π}{3}$$", "symbolab_question": "PRE_CALC#line θ=\\frac{4π}{3}" }, "solution": { "level": "PERFORMED", "subject": "Functions & Graphing", "topic": "Line Equations", "subTopic": "Line", "default": "θ=\\frac{4π}{3}", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Line $$θ=\\frac{4π}{3}$$: slope m=$$\\infty\\:\\:$$and intercept b=$$\\frac{4π}{3}$$", "steps": [ { "type": "definition", "title": "Slope intercept form defininition", "text": "For a vertical line $$\\mathbf{x=b}\\:$$ the slope $$\\mathbf{m=\\infty}\\:$$and the $$\\mathbf{x}\\:$$intercept is $$\\mathbf{b}$$" }, { "type": "step", "primary": "The equation is a vertical line, so the slope is $$\\infty$$.", "result": "θ=\\frac{4π}{3}" } ], "meta": { "solvingClass": "PreCalc" } }, "plot_output": { "meta": { "plotInfo": { "variable": "θ", "funcsToDraw": { "funcs": [ { "evalFormula": "x=\\frac{4π}{3}", "displayFormula": "x=\\frac{4π}{3}", "attributes": { "color": "PURPLE", "lineType": "NORMAL", "isAsymptote": false } } ] }, "functionChanges": [ { "origFormulaLatex": [], "finalFormulaLatex": [], "plotTitle": "x=\\frac{4π}{3}", "paramsLatex": [], "paramsReplacementsLatex": [] } ], "localBoundingBox": { "xMin": -0.7676599191628937, "xMax": 4.847028665538538, "yMin": -5, "yMax": 5 } }, "showViewLarger": true } }, "meta": { "showVerify": true } }