Nhazi

Chọta slọp, y-intercept na equation nke laịini site na bọtịn abụọ.

Òtù (m) —
y-intercept (b) —
Laịnụ́ọ̀gụ̀ —
Aịkọn nke n'ótù —
Oge n'etiti akara —

Nhọrọ ndị ahụ ga-akpụzi mgbe ị na-etipụta.

Ọ bụrụ na ọbụna ọbụ

N'ihe banyere calculator a

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.

Ajụjụ ndị a na-ajụkarị

Olee otú ị ga-esi hazie ugwu site na mpaghara ebe abụọ?

Slope = (y₂ − y₁) / (x₂ − x₁), mgbanwe na y nke a haziri site na mgbanwe na x. Site na (0,0) ruo (3,6) slope bụ 6/3 = 2.

Gịnị mere ọbụla n'elu vetikal laịnụ ahụ anaghị akọwa ya?

Vatịkal laịnụ enweghị mgbanwe na x, yabụ na fomulụ slope na-apụga site na sekọnd. Equation ya bụ x = constant n'ebe y = mx + b nọ.

Gịnị bụ y-intercept?

Ọ bụ ebe a na-akpụga y-axis, b na y = mx + b, nke a na-ahụ site na b = y₁ − m·x₁. Maka akpụga site na (0, 0) na (3, 6) ọ bụ 0.

Gịnị bụ aịkọn nke n'okporo ụzọ?

Ọ bụ aịkọn nke laịnụ ahụ na-eme na horizon, dị nnọọ ka archtangent nke slope ahụ. Slọp nke 2 na-enye ihe dịka 63.4°.

Gịnị bụ ihe nlereanya nke n'aka nri mọọbụ nke aka ekpe?

N'ebe a na-ebuli n'akaekpe ka n'ebe akaekpe, n'ebe a na-ebuli n'ebe akaekpe ka n'ebe akaekpe, n'ebe a na-ebuli nke 0 bụ horizon, na vatịkal laịnụ nwere n'ebe a na-ebuli na-enweghị nkọwa.

Ọ bụrụ na kalkulata ahụ gosi nso a?

Ee. N'otu oge na slope ọ na-enye ogologo n'etiti ihenhọrọ abụọ ịbanyela.

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API — jiri kaadị a site na kóòdù

Kpọọ kalkulata a dịka ebe ngwụcha JSON n'efu - enweghị kii achọrọ. Ziga valiu ebe ahụ n'okpuru dịka paramita ajụjụ mọọbụ JSON. Ihe ọbụla ị na-ewepụ na-eji dìfọ́ọ̀ltụ̀ nke a na-edebe ihuakwụkwọ a na ya; parameter a na-amaghị bụ 400, ọ dịghị sẽọ̀rọ̀. Gụọ ngwe ndị ahụ niile →

Ebemkpofuozi

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);

Ihe a na-ahụta bụ n'ihi nlekọta n'ozuzu ya, ọ bụghị nlekọta ego, ọgwụ ma ọ bụ nlekọta ego.