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الرياضيات

Slope Calculator

Slope Calculator

Point 1

Point 2

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We're working on a comprehensive educational guide for the Slope Calculator in your language. The content below is shown in English.

ما هو Slope Calculator?

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The slope (gradient) of a line measures its steepness. In coordinate geometry, slope = rise/run — how much y changes per unit of x. It is the foundation of linear functions, derivatives in calculus, and regression in statistics.

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الصيغة

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f(x)m = (y₂ − y₁) / (x₂ − x₁)

شرح المتغيرات

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رمزالاسموحدةالوصف
m(y₂ − y₁) / (x₂ − x₁)—(y₂ − y₁) / (x₂ − x₁)

كيفية Slope Calculator

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  1. 1m = (y₂ − y₁) / (x₂ − x₁)
  2. 2Positive m: line rises left to right
  3. 3Negative m: line falls left to right
  4. 4Perpendicular lines: slopes multiply to −1 (m₂ = −1/m₁)
  5. 5Parallel lines have equal slopes

أمثلة محلولة

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مثال 1
معطى:Points (0,3) and (4,7)
النتيجة:Slope = 1

(7−3)/(4−0) = 4/4 = 1. 45° line.

مثال 2
معطى:Points (1,6) and (5,2)
النتيجة:Slope = −1

(2−6)/(5−1) = −4/4 = −1. Descending 45°.

تطبيقات عملية

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Academic homework and exam preparation

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Engineering and architecture calculations

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Everyday measurement tasks around the home

أسئلة شائعة

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Q

What is Slope?

A

The slope (gradient) of a line measures its steepness. In coordinate geometry, slope = rise/run — how much y changes per unit of x

Q

How accurate is the Slope calculator?

A

The calculator uses the standard published formula for slope. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

Q

What units does the Slope calculator use?

A

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

Q

What formula does the Slope calculator use?

A

The core formula is: m = (y₂ − y₁) / (x₂ − x₁). Each step in the calculation is shown so you can verify the result manually.

المراجع

Mathematically verified
Reviewed October 2026
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