{
"query": {
"display": "midpoint $$\\left(3.2,\\:2.5\\right),\\:\\left(1.6,\\:-4.5\\right)$$",
"symbolab_question": "PRE_CALC#midpoint (3.2,2.5),(1.6,-4.5)"
},
"solution": {
"level": "PERFORMED",
"subject": "Functions & Graphing",
"topic": "Line Equations",
"subTopic": "Midpoint",
"default": "(2.4,-1)",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "Midpoint of$$\\left(3.2,\\:2.5\\right)$$ and $$\\left(1.6,\\:-4.5\\right):{\\quad}\\left(2.4,\\:-1\\right)$$",
"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": [
"$$\\left(x_1,\\:y_1\\right)=\\left(3.2,\\:2.5\\right),\\:\\left(x_2,\\:y_2\\right)=\\left(1.6,\\:-4.5\\right)$$"
],
"result": "=\\left(\\frac{1.6+3.2}{2},\\:\\frac{-4.5+2.5}{2}\\right)"
},
{
"type": "step",
"primary": "Refine",
"result": "=\\left(2.4,\\:-1\\right)"
}
],
"meta": {
"solvingClass": "PreCalc"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "x",
"pointsToDraw": {
"pointsLatex": [
"(2.4,-1)",
"(3.2,2.5)",
"(1.6,-4.5)"
],
"pointsDecimal": [
{
"fst": 2.4,
"snd": -1
},
{
"fst": 3.2,
"snd": 2.5
},
{
"fst": 1.6,
"snd": -4.5
}
],
"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": [
"DEFAULT"
],
"labelColors": [
"PURPLE"
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}
]
},
"functionChanges": [
{
"origFormulaLatex": [],
"finalFormulaLatex": [],
"plotTitle": "(3.2,2.5), (2.4,-1), (1.6,-4.5)",
"paramsLatex": [],
"paramsReplacementsLatex": []
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],
"localBoundingBox": {
"xMin": -2.784,
"xMax": 5.664000000000001,
"yMin": -9.4,
"yMax": 7.4
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"showViewLarger": true
}
},
"meta": {
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}
Solution
midpoint
Solution
Solution steps
Midpoint of :
Refine
Graph
Popular Examples
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Frequently Asked Questions (FAQ)
What is the midpoint (3.2,2.5),(1.6,-4.5) ?
The midpoint (3.2,2.5),(1.6,-4.5) is (2.4,-1)