Slip Kalkülatory
Iki noktadan geçýän hatyň eňkisini, y-interseksionyny we deňeşdirişini tap
Netijeler ýazýan wagtyň täzelener.
Bu hasapçy hakda
The slope of a line measures its steepness — the rise over the run between two points. This calculator takes two points and returns the slope, the y-intercept, the equation of the line in slope-intercept form, the angle of incline, and the distance between the points, with a plot of the line.
The slope is m = (y₂ − y₁) / (x₂ − x₁), the change in y divided by the change in x. From (0, 0) to (3, 6) that is 6 ÷ 3 = 2, so the line rises two units for every one across. The y-intercept b comes from b = y₁ − m·x₁ (here 0), giving the equation y = 2x, and the angle of incline is arctan(2) ≈ 63.4°. A positive slope rises left to right, a negative slope falls, and a slope of 0 is horizontal. A vertical line has no change in x, so its slope is undefined and its equation is x = constant.
Slope shows up as grade on a road, pitch on a roof, rate of change in a graph, and the coefficient in a linear equation. It is the single number that tells you how fast one quantity changes with another.
Köp soralýan soraglar
Iki noktadan egriligi nädip hasap edýärsiň?
Slope = (y2 − y1) / (x2 − x1), y'deki üýtgeme x'deki üýtgeme bilen bölünen. (0,0) dan (3,6)'e kadarki egrilik 6/3 = 2
Näme üçin dik hatyň çyzyklygy belli däl?
Bir dik çizgi x-de hiç bir üýtgeme ýok, şonuň üçin çöküş formulasy sıfryň bilen bölünýär. Onuň deňlemesi y = mx + b yerine x = konstant.
Y-intercept näme?
Bu hat y-eşikden geçýän ýerdir, y = mx + b içinde b, b = y₁ − m·x₁-den tapylan. Hat (0, 0) we (3, 6) aralygyndan geçýän bolsa 0.
Eňilmek çuňlugy näme?
It is the angle the line makes with the horizontal, equal to the arctangent of the slope. A slope of 2 gives about 63.4°.
Positiw ýa-da manifist çyzyk nämedir?
Bir pozitiw çuňluk soldan sag tarapa galkýar, bir menfiý çuňluk düşýär, 0-yň çuňlugy horizontaldyr we bir dik çuňluk çuňluky belli bolmadyk çuňluky bar.
Kalkülatoryň uzaklygy görkezmelimi?
Eý. Bu egri bilen birlikde iki noktanyň arasyna düz çyzyk uzaklygy berýär.
API — bu hasapçyny koddan ullan
Bu hasapçyny boş JSON ahtar noktasy hökmünde çagyr - açar gerek däl. Aşakdaky meýdança mykdarlaryny soragyň parametrleri ýa-da JSON hökmünde iber. Siziň goýmaýan hernäňiz şu sahypanyň öň bellenen öň bellenenini ulanýar; namydar parametr 400, hiç wagt sessiz sıfır däl. Eňlisçe senedleri oka →
Endpoint
GET https://calculator.free/api/v1/slope/curl
curl "https://calculator.free/api/v1/slope/?x1=0&y1=0&x2=3&y2=6"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/slope/?" + new URLSearchParams({
"x1": "0",
"y1": "0",
"x2": "3",
"y2": "6"
}));
const data = await r.json();
console.log(data.results);Netijeler diňe umumy ýardam üçin hasaplanypdyr, maliýe, saglyk ýa-da salgyt maslahaty üçin däl.