slope ofintercept 5x+y=-5

{ "query": { "display": "slope intercept $$5x+y=-5$$", "symbolab_question": "PRE_CALC#slopeintercept 5x+y=-5" }, "solution": { "level": "PERFORMED", "subject": "Functions & Graphing", "topic": "Line Equations", "subTopic": "Slope Intercept", "default": "y=-5x-5" }, "steps": { "type": "interim", "title": "Slope-Intercept form of $$5x+y=-5:{\\quad}y=-5x-5$$", "input": "5x+y=-5", "steps": [ { "type": "definition", "title": "Slope intercept form defininition", "text": "$$\\mathbf{y=mx+b}\\:$$is the slope intercept form of a line where $$\\mathbf{m}\\:$$is the slope and $$\\mathbf{b}\\:$$is the $$\\mathbf{y}\\:$$intercept" }, { "type": "interim", "title": "Convert to slope intercept form:$${\\quad}y=-5x-5$$", "input": "5x+y=-5", "steps": [ { "type": "interim", "title": "Move $$5x\\:$$to the right side", "input": "5x+y=-5", "result": "y=-5x-5", "steps": [ { "type": "step", "primary": "Subtract $$5x$$ from both sides", "result": "5x+y-5x=-5-5x" }, { "type": "step", "primary": "Simplify", "result": "y=-5x-5" } ], "meta": { "interimType": "Move to the Right Title 1Eq", "gptData": "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" } } ], "meta": { "interimType": "Convert To Intercept Linear Equation 0Eq" } }, { "type": "step", "primary": "For a line in the form of $$\\mathbf{y=mx+b}$$, the slope is $$\\mathbf{m}\\:$$and $$\\mathbf{y}\\:$$intercept is $$\\mathbf{b}$$", "result": "y=-5x-5" } ], "meta": { "solvingClass": "PreCalc" } } }