{
"query": {
"display": "midpoint $$\\left(3,\\:17\\right),\\:\\left(-14,\\:-8\\right)$$",
"symbolab_question": "PRE_CALC#midpoint (3,17),(-14,-8)"
},
"solution": {
"level": "PERFORMED",
"subject": "Functions & Graphing",
"topic": "Line Equations",
"subTopic": "Midpoint",
"default": "(-\\frac{11}{2},\\frac{9}{2})",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "Midpoint of$$\\left(3,\\:17\\right)$$ and $$\\left(-14,\\:-8\\right):{\\quad}\\left(-\\frac{11}{2},\\:\\frac{9}{2}\\right)$$",
"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": [
"$$\\left(x_1,\\:y_1\\right)=\\left(3,\\:17\\right),\\:\\left(x_2,\\:y_2\\right)=\\left(-14,\\:-8\\right)$$"
],
"result": "=\\left(\\frac{-14+3}{2},\\:\\frac{-8+17}{2}\\right)"
},
{
"type": "step",
"primary": "Refine",
"result": "=\\left(-\\frac{11}{2},\\:\\frac{9}{2}\\right)"
}
],
"meta": {
"solvingClass": "PreCalc"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "x",
"pointsToDraw": {
"pointsLatex": [
"(-\\frac{11}{2},\\frac{9}{2})",
"(3,17)",
"(-14,-8)"
],
"pointsDecimal": [
{
"fst": -5.5,
"snd": 4.5
},
{
"fst": 3,
"snd": 17
},
{
"fst": -14,
"snd": -8
}
],
"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": "(3,17), (-\\frac{11}{2},\\frac{9}{2}), (-14,-8)",
"paramsLatex": [],
"paramsReplacementsLatex": []
}
],
"localBoundingBox": {
"xMin": -25.9,
"xMax": 14.899999999999999,
"yMin": -25.5,
"yMax": 34.5
}
},
"showViewLarger": true
}
},
"meta": {
"showVerify": true
}
}
Solution
midpoint
Solution
Solution steps
Midpoint of :
Refine
Graph
Popular Examples
line θ=(4pi)/3line line (3, 1/4),(3/2 ,7)line derivative of y=ln(sqrt(x))derivative of derivative of y=ln(x^2)derivative of derivative of f(x)=sqrt(x+9)derivative of
Frequently Asked Questions (FAQ)
What is the midpoint (3,17),(-14,-8) ?
The midpoint (3,17),(-14,-8) is (-11/2 , 9/2)