Kalkulator

Nemokake lereng, y- intersèk lan persamaan garis liwat loro titik.

Serong (m) —

y-intersekuensing (b) —

Persamaan garis —

Bucuning kacepetan —

Jarak antara titik —

Hasil dioptimalake nalika sampeyan ngetik.

Did this calculator give you the right answer?

Ngendi kalkulator iki

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.

Takon kang asring diajukake

Carane ngitung lereng saka loro titik?

Ing basa Jawa, aksara iki digawé saka aksara Jawa kang dijupuk saka aksara Jawa kuna, ya iku aksara 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.

Mengapa garis vertikal ora didefinisikaké?

Garis vertikal ora ana owah-owahan ing x, mula formula lengkungan dibagi karo nol. Persamaané ya iku x = konstan tinimbang y = mx + b.

Apa iku Y-intercept?

Ing ngendi garis ngliwati sumbu y, b ing y = mx + b, ditemokaké saka b = y₁ − m·x₁. Kanggo garis liwat (0, 0) lan (3, 6) iku 0.

Apa kang dadi titik ing wangun?

Iki ya iku sudut kang digawé garis karo horisontal, padha karo arctangent saka lembah. Lembah2ngasilaké kira-kira 63.4°.

Apa tegesé positif utawa negatif?

Sawisé iku, garis-garis iki bakal dipisahaké dadi garis-garis horizontal, garis-garis vertikal, lan garis-garis sing ora dipisahaké.

Apa kalkulator punika gadhah jarak?

Ya. Kaliyan lembah punika mènèhi jarak garis lurus antarané kalih titik ingkang sampun dipun- simpen.

API — gunakake kalkulator iki saka kode

Panggenan kalkulator iki minangka titik pungkasan JSON gratis - ora ana kunci sing dibutuhaké. Kirimi nilai medan ing ngisor iki minangka parameter pitakonan utawa JSON. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Waca dokumen API lengkap →

Titik pungkasan

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);

Kajaba iku, ana uga sing ora bisa gawé gawéan, kaya ta dokter, insinyur, lan liya-liyané.