Kalkaaliyihii Slope

Ka hel jidadka, y-intercept iyo isku midka ah ee line ka dib markii laba dhibcood.

Xagal (m) —

y-intercept (b) —

Isku-dhafka xadka —

Jidka xagal —

Dhererka dhibcaha dhexdooda —

Natiijooyinka cusbooneysiinta sida aad ku qorto.

Ma xisaabiyahan ayaa ku siiyey jawaabta saxda ah?

Ku saabsan Kalkaaliyahan

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.

Su'aalaha badanaa la isweydiiyo

Sidee baad u xisaabin kartaa jiidashada ka laba dhibcood?

Slope = (y₂ − y₁) / (x₂ − x₁), isbedelka y ku qaybsan isbedelka x. Ka (0,0) ilaa (3,6) isbedelka waa 6/3 = 2.

Maxaa ka dhigaya jiidashada line vertical ah aan la qeexin?

A line xagal waa in aan wax isbeddel ah x, sidaa darteed qaabka jiidashada ku kala qaybsan by zero. isku midka ah waa x = joogto ah oo aan y = mx + b.

Waa maxay y-intercept?

Waa meesha line crosses y-axis, b in y = mx + b, laga helay b = y₁ − m·x₁. Line ka dib (0, 0) iyo (3, 6) waa 0.

Waa maxay geeska jilicsan?

Waa jihada line samaynaya la horizontal, la mid ah arctangent ee jidadka. Jid 2 siinaysaa ku saabsan 63.4 °.

Maxaa ka dhigan yahay jiidashada wanaagsan ama xun?

A jilicsan wanaagsan kor u kacdo ka bidix ilaa midig, jilicsan xun hoos, jilicsan 0 waa horizontal, iyo line vertical leeyahay jilicsan aan la qeexin.

Ma xisaabinta muujinayaa fogaanshaha too?

Haa. Iyadoo la socday jiidashada wuxuu siiyaa xadka u dhexeeya labada dhibcood ee aad gashay.

API — isticmaal xisaabinta ka code

Wici xisaabinta sida free JSON endpoint - key ma loo baahan yahay. Dib u soo dir qiimaha goobta hoos ku qoran sida parameters su'aal ama JSON. Wax kasta oo aad ka maqan tahay isticmaalaa default la mid ah ee boggani waa hore loo buuxiyey la; parameter aan la aqoon waa 400, marnaba ma aha zero maqan. Akhri dhammaan API xuquuqda →

Xarafka

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);

Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.

Ku saabsan Kalkaaliyahan

Su'aalaha badanaa la isweydiiyo

Kalkulatorro la xiriira

Xarafka

curl

JavaScript fetch()

JavaScript `fetch()`