{
"query": {
"display": "midpoint $$\\left(-2,\\:-7\\right),\\:\\left(7,\\:4\\right)$$",
"symbolab_question": "PRE_CALC#midpoint (-2,-7),(7,4)"
},
"solution": {
"level": "PERFORMED",
"subject": "Functions & Graphing",
"topic": "Line Equations",
"subTopic": "Midpoint",
"default": "(\\frac{5}{2},-\\frac{3}{2})",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "Midpoint of$$\\left(-2,\\:-7\\right)$$ and $$\\left(7,\\:4\\right):{\\quad}\\left(\\frac{5}{2},\\:-\\frac{3}{2}\\right)$$",
"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": [
"$$\\left(x_1,\\:y_1\\right)=\\left(-2,\\:-7\\right),\\:\\left(x_2,\\:y_2\\right)=\\left(7,\\:4\\right)$$"
],
"result": "=\\left(\\frac{7-2}{2},\\:\\frac{4-7}{2}\\right)"
},
{
"type": "step",
"primary": "Refine",
"result": "=\\left(\\frac{5}{2},\\:-\\frac{3}{2}\\right)"
}
],
"meta": {
"solvingClass": "PreCalc"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "x",
"pointsToDraw": {
"pointsLatex": [
"(\\frac{5}{2},-\\frac{3}{2})",
"(-2,-7)",
"(7,4)"
],
"pointsDecimal": [
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"fst": 2.5,
"snd": -1.5
},
{
"fst": -2,
"snd": -7
},
{
"fst": 7,
"snd": 4
}
],
"attributes": [
{
"color": "BLACK",
"labels": [
"\\mathrm{Mid\\:Point}"
],
"labelTypes": [
"SOLUTION"
],
"labelColors": [
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]
},
{
"color": "PURPLE",
"labels": [
"\\mathrm{First\\:Point}"
],
"labelTypes": [
"DEFAULT"
],
"labelColors": [
"PURPLE"
]
},
{
"color": "PURPLE",
"labels": [
"\\mathrm{Second\\:Point}"
],
"labelTypes": [
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],
"labelColors": [
"PURPLE"
]
}
]
},
"functionChanges": [
{
"origFormulaLatex": [],
"finalFormulaLatex": [],
"plotTitle": "(-2,-7), (\\frac{5}{2},-\\frac{3}{2}), (7,4)",
"paramsLatex": [],
"paramsReplacementsLatex": []
}
],
"localBoundingBox": {
"xMin": -8.299999999999999,
"xMax": 13.299999999999999,
"yMin": -14.7,
"yMax": 11.7
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"showViewLarger": true
}
},
"meta": {
"showVerify": true
}
}
Solution
midpoint
Solution
Solution steps
Midpoint of :
Refine
Graph
Popular Examples
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Frequently Asked Questions (FAQ)
What is the midpoint (-2,-7),(7,4) ?
The midpoint (-2,-7),(7,4) is (5/2 ,-3/2)