Calculadora de Inclinação

The Slope Calculator determines the slope (m) of a line from two points on a Cartesian plane. The slope represents the rate of vertical change relative to horizontal change and is fundamental in analytic geometry, algebra, and calculus. The calculation uses the formula m = (y₂ − y₁) / (x₂ − x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of the points. The result indicates whether the line is increasing (m > 0), decreasing (m < 0), horizontal (m = 0), or vertical (m undefined).

This tool is useful for students, teachers, and professionals dealing with graphs, line equations, or trend analysis. For example, when analyzing temperature variation over time, the slope shows the rate of heating or cooling. In engineering, it helps calculate ramps or terrain slopes. Usage is simple: enter the coordinates of two points and click calculate. The result is displayed immediately and can be used in subsequent calculations.

Important precautions: ensure the points are distinct, as division by zero occurs when x₁ = x₂ (vertical line). In that case, the slope is undefined. Additionally, the order of points does not change the absolute value, but swapping coordinates may invert the sign if consistency is not maintained. The calculator assumes input values are real numbers. For horizontal lines (y₁ = y₂), the result is zero, indicating no vertical change.