Àwọn Àwọn Àkọ́lé
Wá àwọn ìṣàmúlò-ètò, àwọn ìṣàmúlò-ètò y, àti àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò láti inú àwọn ààtò àwọn ìṣàmúlò-ètò mejì.
Àwọn Àtòjọ-ẹ̀yàn àwọn ìṣàmúlò-ètò
Àkóónú ìṣàmúlò-ètò yìí
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.
Àwọn Àtòjọ-ẹ̀yàn
Bawo ní o ṣe lè ṣé ìṣàmúlò-ètò láti inú àwọn ààyè-iṣẹ́ meji?
Slope = (y2 − y₁) / (x₂ − x₁), iyatọ ni y ti a pin nipasẹ iyatọ ni x. Lati (0,0) si (3,6) iyatọ ni 6/3 = 2.
Kini idi ti àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò ìsàlẹ̀-ètò kò bá jẹ́ àìfihàn?
Ààyè ìsàlẹ̀-ilà kò ní ìyipadà nínú x, láti jẹ́ pé ìṣàmúlò-ètò ìsàlẹ̀-ilà náà ń pẹ̀lú ìṣàfarawé àwọn à
Àwòrán
Ò jẹ́ ibí tí àkàdí àkàdí náà tí n pà y-axis, b ni y = mx + b, tí a rí láti b = y₁ − m·x₁. Fún àkàdí àkàdí náà láti inú (0, 0) àti (3, 6) ò jẹ́ 0.
Kini ààyè ìsàlẹ̀-ilà?
It is the angle the line makes with the horizontal, equal to the arctangent of the slope. A slope of 2 gives about 63.4°.
Kini o tumọ si ìṣàfarawé àwọn ìṣàmúlò-ètò ìṣàfarawé àti ìṣàfarawé àwọn ìṣàmúlò-ètò?
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.
Àwọn àwọn ààtò àtòjọ-ẹ̀yàn
Yà. Nínú ìṣàfarawé àwọn ààyè náà ò fi àwọn ààyè àìfàsì àìfàsì pẹ̀lú àwọn ààyè àìfàsì àìfàsì pẹ̀lú àwọn ààyè àìfàsì àìfàsì.
API — ló àwọn ìṣàmúlò-ètò yìí láti inú ìṣàmúlò-ètò
Fi àwọn ìṣàmúlò-ètò yìí kọ̀ǹpútà yìí láti jẹ́ ààyè-iṣẹ́ JSON tí a tí fi pamọ́ - kò ní bọ́tìnì kan tí a fẹ́. Fi àwọn fálù ààyè-iṣẹ́ sílẹ̀ sí bí àwọn àwọn ìṣàmúlò-ètò àti JSON. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Ka àwọn àkọlé API kíkún →
Àwọn Ààyè Ìjánu-ìṣàmúlò-ètò
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.