{
"query": {
"display": "midpoint $$\\left(7,\\:-12\\right),\\:\\left(-5,\\:-15\\right)$$",
"symbolab_question": "PRE_CALC#midpoint (7,-12),(-5,-15)"
},
"solution": {
"level": "PERFORMED",
"subject": "Functions & Graphing",
"topic": "Line Equations",
"subTopic": "Midpoint",
"default": "(1,-\\frac{27}{2})",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "Midpoint of$$\\left(7,\\:-12\\right)$$ and $$\\left(-5,\\:-15\\right):{\\quad}\\left(1,\\:-\\frac{27}{2}\\right)$$",
"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": [
"$$\\left(x_1,\\:y_1\\right)=\\left(7,\\:-12\\right),\\:\\left(x_2,\\:y_2\\right)=\\left(-5,\\:-15\\right)$$"
],
"result": "=\\left(\\frac{-5+7}{2},\\:\\frac{-15-12}{2}\\right)"
},
{
"type": "step",
"primary": "Refine",
"result": "=\\left(1,\\:-\\frac{27}{2}\\right)"
}
],
"meta": {
"solvingClass": "PreCalc"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "x",
"pointsToDraw": {
"pointsLatex": [
"(1,-\\frac{27}{2})",
"(7,-12)",
"(-5,-15)"
],
"pointsDecimal": [
{
"fst": 1,
"snd": -13.5
},
{
"fst": 7,
"snd": -12
},
{
"fst": -5,
"snd": -15
}
],
"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": "(7,-12), (1,-\\frac{27}{2}), (-5,-15)",
"paramsLatex": [],
"paramsReplacementsLatex": []
}
],
"localBoundingBox": {
"xMin": -13.399999999999999,
"xMax": 15.399999999999999,
"yMin": -26.654999999999998,
"yMax": 13.304999999999996
}
},
"showViewLarger": true
}
},
"meta": {
"showVerify": true
}
}
Solution
midpoint
Solution
Solution steps
Midpoint of :
Refine
Graph
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Frequently Asked Questions (FAQ)
What is the midpoint (7,-12),(-5,-15) ?
The midpoint (7,-12),(-5,-15) is (1,-27/2)