Áireamhán Fálta

Faigh fána, y-idirdhealú agus cothromóid na líne trí dhá phointe.

Fána (m) —

y- idirscaoileadh (b) —

Cothromóid Líne —

Uillinn an chlaonta —

Fad idir pointí —

Torthaí a nuashonrú mar a chlóscríobh tú.

Did this calculator give you the right answer?

Maidir leis an áireamhán seo

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.

Ceisteanna Coitianta

Conas a ríomhann tú fána ó dhá phointe?

Fána = (y₂ − y₁) / (x₂ − x₁), an t-athrú i y roinnte ar an athrú i x. Ó (0,0) go (3,6) is é an fána 6/3 = 2.

Cén fáth go bhfuil fána líne ingearach neamhshainithe?

Níl aon athrú ar x ag líne ingearach, mar sin roinntear an fhoirmle fána faoi nialas. Is é x = tairiseach a chothromóid in ionad y = mx + b.

Cad é an y- idirdhealú?

Is é an áit a dtrasnaíonn an líne an ais y, an b i y = mx + b, a fhaightear ó b = y₁ − m·x₁.

Cad é an uillinn fána?

Is é an uillinn atá ag an líne leis an gcothrománach, comhionann le Arctangent an fána.Tugann fána 2 thart ar 63.4°.

Cad a chiallaíonn fána dearfach nó diúltach?

Éiríonn fána dearfach ó chlé go deas, titeann fána diúltach, tá fána 0 cothrománach, agus tá fána neamhshainithe ag líne ingearach.

An léiríonn an t-áireamhán an fad freisin?

Tá. In éineacht leis an bhfána, tugann sé an fad líne dhíreach idir an dá phointe a chuir tú isteach.

API — úsáid an áireamhán seo ó chód

Glaoigh ar an áireamhán seo mar chríochphointe JSON saor in aisce - níl aon eochair ag teastáil. Seol na luachanna réimse thíos mar pharaiméadair cheist nó JSON. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Léigh an doiciméadú iomlán API →

Deireadhphointe

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);

Is meastacháin iad na torthaí le haghaidh treoir ghinearálta amháin, ní comhairle airgeadais, leighis nó cánach.

Maidir leis an áireamhán seo

Ceisteanna Coitianta

Áireamháin ghaolmhara

Deireadhphointe

curl

JavaScript fetch()

JavaScript `fetch()`