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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.

الصيغة

m = (y₂ − y₁) / (x₂ − x₁)

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

دليل خطوة بخطوة

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

أمثلة محلولة

الإدخال

Points (0,3) and (4,7)

النتيجة

Slope = 1

(7−3)/(4−0) = 4/4 = 1. 45° line.

الإدخال

Points (1,6) and (5,2)

النتيجة

Slope = −1

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

أسئلة شائعة

What is Slope?

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

How accurate is the Slope calculator?

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.

What units does the Slope calculator use?

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

What formula does the Slope calculator use?

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