midpoint (3,-5),(7,9)

{ "query": { "display": "midpoint $$\\left(3,\\:-5\\right),\\:\\left(7,\\:9\\right)$$", "symbolab_question": "PRE_CALC#midpoint (3,-5),(7,9)" }, "solution": { "level": "PERFORMED", "subject": "Functions & Graphing", "topic": "Line Equations", "subTopic": "Midpoint", "default": "(5,2)", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Midpoint of$$\\left(3,\\:-5\\right)$$ and $$\\left(7,\\:9\\right):{\\quad}\\left(5,\\:2\\right)$$", "steps": [ { "type": "step", "primary": "Midpoint of $$\\left(x_1,\\:y_1\\right),\\:\\left(x_2,\\:y_2\\right)$$: $$\\left(\\frac{x_2+x_1}{2},\\:\\:\\frac{y_2+y_1}{2}\\right)$$", "secondary": [ "$$\\left(x_1,\\:y_1\\right)=\\left(3,\\:-5\\right),\\:\\left(x_2,\\:y_2\\right)=\\left(7,\\:9\\right)$$" ], "result": "=\\left(\\frac{7+3}{2},\\:\\frac{9-5}{2}\\right)" }, { "type": "step", "primary": "Refine", "result": "=\\left(5,\\:2\\right)" } ], "meta": { "solvingClass": "PreCalc" } }, "plot_output": { "meta": { "plotInfo": { "variable": "x", "pointsToDraw": { "pointsLatex": [ "(5,2)", "(3,-5)", "(7,9)" ], "pointsDecimal": [ { "fst": 5, "snd": 2 }, { "fst": 3, "snd": -5 }, { "fst": 7, "snd": 9 } ], "attributes": [ { "color": "BLACK", "labels": [ "\\mathrm{Mid\\:Point}" ], "labelTypes": [ "SOLUTION" ], "labelColors": [ "BLACK" ] }, { "color": "PURPLE", "labels": [ "\\mathrm{First\\:Point}" ], "labelTypes": [ "DEFAULT" ], "labelColors": [ "PURPLE" ] }, { "color": "PURPLE", "labels": [ "\\mathrm{Second\\:Point}" ], "labelTypes": [ "DEFAULT" ], "labelColors": [ "PURPLE" ] } ] }, "functionChanges": [ { "origFormulaLatex": [], "finalFormulaLatex": [], "plotTitle": "(3,-5), (5,2), (7,9)", "paramsLatex": [], "paramsReplacementsLatex": [] } ], "localBoundingBox": { "xMin": -6.090000000000001, "xMax": 12.39, "yMin": -14.8, "yMax": 18.8 } }, "showViewLarger": true } }, "meta": { "showVerify": true } }