slope of y-18=6x

{ "query": { "display": "slope $$y-18=6x$$", "symbolab_question": "PRE_CALC#slope y-18=6x" }, "solution": { "level": "PERFORMED", "subject": "Functions & Graphing", "topic": "Line Equations", "subTopic": "Slope", "default": "m=6", "meta": { "showVerify": true } }, "methods": [ { "method": "Slope using standard form", "query": { "display": "slope $$y-18=6x$$", "symbolab_question": "slope y-18=6x" } }, { "method": "Slope using intercept form", "query": { "display": "slopesnd $$y-18=6x$$", "symbolab_question": "slopesnd y-18=6x" } } ], "steps": { "type": "interim", "title": "Slope of $$y-18=6x:{\\quad}m=6$$", "steps": [ { "type": "interim", "title": "Convert to standard form:$${\\quad}6x-y=-18$$", "input": "y-18=6x", "steps": [ { "type": "definition", "title": "Standard form definition", "text": "$$\\mathbf{Ax+By=C}\\:$$is the standard form of a line, $$\\mathbf{A}\\:$$is positive integer, $$\\mathbf{B},\\:\\mathbf{C}\\:$$are integers" }, { "type": "step", "primary": "Add $$18$$ to both sides", "result": "y-18+18=6x+18" }, { "type": "step", "primary": "Simplify", "result": "y=6x+18" }, { "type": "step", "primary": "Subtract $$6x$$ from both sides", "result": "y-6x=6x+18-6x" }, { "type": "step", "primary": "Simplify", "result": "-6x+y=18" }, { "type": "step", "primary": "Multiply both sides by $$-1$$", "result": "-6\\left(-1\\right)x+1\\cdot\\:\\left(-1\\right)y=18\\left(-1\\right)" }, { "type": "step", "primary": "Simplify", "result": "6x-y=-18" } ], "meta": { "interimType": "Convert To Standard Linear Equation 0Eq" } }, { "type": "interim", "title": "Slope using standard form:$${\\quad}m=6$$", "result": "m=6", "steps": [ { "type": "step", "primary": "Slope $$\\mathbf{m}\\:$$of a line of the form $$\\mathbf{Ax+By=C}\\:$$equals $$\\mathbf{-\\frac{A}{B}}$$", "secondary": [ "$$\\mathbf{A}=6,\\:\\mathbf{B}=-1$$" ], "result": "m=-\\frac{6}{-1}" }, { "type": "step", "primary": "Simplify", "result": "m=6" } ], "meta": { "interimType": "Slope Standard Selection 0Eq" } } ], "meta": { "solvingClass": "PreCalc" } }, "meta": { "showVerify": true } }