Equação da Reta (2 pontos)

This calculator determines the equation of the line passing through two given points on the Cartesian plane. From the coordinates of points (x₁, y₁) and (x₂, y₂), it calculates the slope m and the y-intercept b, presenting the slope-intercept form y = mx + b. The tool also displays the graph of the line and information such as slope and intercepts.

The operation is simple: enter the coordinates of the two points. The calculator computes the difference in y-coordinates (Δy) and x-coordinates (Δx) and obtains m = Δy/Δx. Then it substitutes one point into y = mx + b to find b. The result is shown clearly, with the line equation and the values of m and b.

Use this calculator to solve analytic geometry problems, such as finding the equation of a line from two known points, checking if three points are collinear, or determining the slope of a line. It is useful for students and professionals working with graphs, linear functions, and mathematical modeling.

Caution: ensure the two points are distinct, as identical points do not define a line. The calculator does not handle vertical lines (where x₁ = x₂), because the slope is infinite. In that case, the equation is x = constant. Also check that the input values are in the correct numeric format (use dot as decimal separator).