የቀን መቁጠሪያ
Find the slope, y-intercept and equation of the line through two points.
ውጤቶች እንደተጻፉ ይቀየራሉ
ስለዚህ መተግበሪያ
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.
የሚጠየቁ ጥያቄዎች
How do you calculate slope from two points?
Slope = (y₂ − y₁) / (x₂ − x₁), the change in y divided by the change in x. From (0,0) to (3,6) the slope is 6/3 = 2.
ቀጥ ያለ መስመር
አግድም መስመር በ x ውስጥ ለውጥ የለውም ስለዚህም የዝቅተኛው ፎርሙላ በሴንቲሜትር ይከፋፍላል። እኩልነቱ x=constant ነው y=mx +b ይልቅ።
የy-አቋራጭ ምንድን ነው?
ይህ መስመር የy-አቅጣጫን የሚቃረን ቦታ ነው፣b በ y = mx + b ውስጥ፣ ከ b = y₁ − m·x₁ የተገኘ ነው። (0, 0) እና (3, 6) ውስጥ ለሚገኘው መስመር 0 ነው
የቀለም ቅርጽ
ይህ መስመር በግድግዳው ላይ የሚያደርገው መስመር ነው፣ የግድግዳው ርዝመት ተመሳሳይ ነው. የ2 ግድግዳ 63.4° ያመጣል
ደግ ወይም ክፉ መውረድ ምን ማለት ነው?
A positive slope rises from left to right, a negative slope falls, a slope of 0 is horizontal, and a vertical line has an undefined slope.
የቁጥጥር መሳሪያው ርቀቱንም ያሳያል?
አዎ. ከቀዘቀዘው ጋር በመሆን ከሁለቱ ነጥቦች መካከል ያለውን ቀጥ ያለ መስመር ርቀት ይሰጣል
API — ይህ መቁጠሪያን ከኮድ ይጠቀሙ
ይህ መቁጠሪያን እንደ ነጻ JSON መጨረሻ ነጥብ ጥሪ - ቁልፍ ያስፈልጋል. የሜዳውን ዋጋዎች በታች እንደ ጥያቄ პარაሜትር ወይም JSON ላኩ ማንኛውም ነገር ያላስቀመጥክበት ተመሳሳይ መነሻን ይጠቀማል ይህ ገጽ በመጀመሪያ የተሞላ ነው; ያልታወቀ ፓራሜትር 400 ነው, ሁልጊዜም የደበቅ ነጥብ አይደለም. የሙሉን የAPI ሰነዶች አንብብ →
መጨረሻ
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);
ውጤቶች ለታዳሚው መመሪያ ብቻ ናቸው፣ የገንዘብ፣ የሕክምና ወይም የክፍያ ምክር አይደሉም፡፡