I-Calculator ye-Slope

Find the slope, y-intercept and equation of the line through two points.

Ukhuphelo (m) —
y- intercept (b) —
I-equation yomgca —
I-Engile yoMlinganiselo —
Ubungakanani bendawo yokugcina —

Iinketho ze projekti

Ingaba le calculator ikunika umyalezo olungileyo?

Malunga nale Calculator

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.

Imibuzo ebuza rhoqo

Ubala njani umngxunya ukusuka kwincopho ezimbini?

Ukuphakama = (y2 − y1) / (x2 − x1), utshintsho kwi y luhlukaniswe ngotshintsho kwi x. Ukusuka (0,0) ukuya (3,6) ukuphakama ku 6/3 = 2.

Kutheni umgca othe nkqo ohamba phezulu acaciswanga?

Umgca othe nkqo awunatshintsho kwi x, ngoko ke ifomula yokuphakama ihlula nge zero. Inkcazo yayo yi x = eqhubekayo endaweni ye y = mx + b.

Yintoni i-y-intercept?

Yilapho umgca udlula khona umgca ohamba phezulu, i-b kwi-y = mx + b, efunyenwe kwi-b = y₁ − m·x₁. Kumhlathi odlula (0, 0) no (3, 6) i-0.

Yintoni i-engile yokugoba?

Le yi-engile umgca oyenzayo ngowothe tyaba, olingana ne-arctangent yomqolo. Umqolo we-2 unika malunga ne-63.4°.

Yintoni ethetha ukuba i-slope elungileyo okanye ebi?

Umqolo olungileyo unyuka ukusuka ekhohlo ukuya ekunene, umqolo o negative uphantsi, umqolo we 0 uthe tyaba, umgca othe nkqo unemiqolo engachazwanga.

Ingaba i-calculator ibonisa umgama?

Ewe. Kunye ne-slope inika umgama womgca othe nkqo phakathi kwezinto ezimbini oza kuzifaka.

Ii-calculators ezihambelanayo

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API — sebenzisa le calculator ukusuka kwikhowudi

Nceda le khadi lemali njengendawo esemva ye-JSON ekhululekileyo - akukho qhosha lifunekayo. Thumela amaxabiso endawo ezantsi njengeparameter yombuzo okanye i-JSON. Nantoni na oyenzayo isebenzisa okungagqibekanga okufanayo eli phepha ligqityiwe ngaphambili; iparameter engaziwayo yi 400, ayikho i zero ekhululekileyo. Funda i-API epheleleyo →

Incopho yesiphelo

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);

Results are estimates for general guidance only, not financial, medical or tax advice.