{
"query": {
"display": "midpoint $$\\left(15,\\:3\\right),\\:\\left(2,\\:-14\\right)$$",
"symbolab_question": "PRE_CALC#midpoint (15,3),(2,-14)"
},
"solution": {
"level": "PERFORMED",
"subject": "Functions & Graphing",
"topic": "Line Equations",
"subTopic": "Midpoint",
"default": "(\\frac{17}{2},-\\frac{11}{2})",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "Midpoint of$$\\left(15,\\:3\\right)$$ and $$\\left(2,\\:-14\\right):{\\quad}\\left(\\frac{17}{2},\\:-\\frac{11}{2}\\right)$$",
"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": [
"$$\\left(x_1,\\:y_1\\right)=\\left(15,\\:3\\right),\\:\\left(x_2,\\:y_2\\right)=\\left(2,\\:-14\\right)$$"
],
"result": "=\\left(\\frac{2+15}{2},\\:\\frac{-14+3}{2}\\right)"
},
{
"type": "step",
"primary": "Refine",
"result": "=\\left(\\frac{17}{2},\\:-\\frac{11}{2}\\right)"
}
],
"meta": {
"solvingClass": "PreCalc"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "x",
"pointsToDraw": {
"pointsLatex": [
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"(15,3)",
"(2,-14)"
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"pointsDecimal": [
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"fst": 8.5,
"snd": -5.5
},
{
"fst": 15,
"snd": 3
},
{
"fst": 2,
"snd": -14
}
],
"attributes": [
{
"color": "BLACK",
"labels": [
"\\mathrm{Mid\\:Point}"
],
"labelTypes": [
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],
"labelColors": [
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},
{
"color": "PURPLE",
"labels": [
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],
"labelTypes": [
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"labelColors": [
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},
{
"color": "PURPLE",
"labels": [
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"labelColors": [
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"functionChanges": [
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"plotTitle": "(15,3), (\\frac{17}{2},-\\frac{11}{2}), (2,-14)",
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"xMin": -13.049999999999997,
"xMax": 26.549999999999997,
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Solution
midpoint
Solution
Solution steps
Midpoint of :
Refine
Graph
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Frequently Asked Questions (FAQ)
What is the midpoint (15,3),(2,-14) ?
The midpoint (15,3),(2,-14) is (17/2 ,-11/2)