Utilize our free online calculator to instantly determine the slope, length, angle, and equation of a line. Simply input two points to solve complex geometry problems with ease and precision.
Formula:
Key Formulas for Line Properties
Understanding how lines behave in a coordinate system is fundamental in mathematics and physics. Here are the core formulas our calculator uses:
- Slope (m): Represents the steepness and direction of a line.
- Length (Distance, d): The Euclidean distance between two points on the line.
- Angle (θ): The angle the line makes with the positive x-axis.
- Equation of a Line (Point-Slope Form): Defines the relationship between x and y for any point on the line.
- Equation of a Line (Slope-Intercept Form): A common way to express the line's equation.
m = (y2 - y1) / (x2 - x1)
d = √((x2 - x1)2 + (y2 - y1)2)
θ = arctan(m) (Angle in radians, converted to degrees for display)
y - y1 = m(x - x1)
y = mx + b (where b is the y-intercept)
These formulas are crucial for various applications, from construction and engineering to data analysis and computer graphics.