Slope of a Line
Formula:m = (y2 - y1) / (x2 - x1)
Introduction to Slope of a Line Calculator
The slope of a line, represented by the letter 'm' in the formula, indicates the steepness or incline of the line. It is calculated by finding the ratio of the vertical change (difference in the y-coordinates) to the horizontal change (difference in the x-coordinates) between two distinct points on the line. If the line is vertical, the slope is undefined, and if the line is horizontal, the slope is 0. This formula applies to all straight lines, including ones with positive, negative, or zero slopes.
Parameter usage:
x1
= x-coordinate of the first pointy1
= y-coordinate of the first pointx2
= x-coordinate of the second pointy2
= y-coordinate of the second point
Example valid values:
x1
= 5,y1
= 3,x2
= 8,y2
= 8
Output:
slope
= value of the slope
Data validation
The x-coordinates should not be equal to each other to avoid division by zero. All numbers are allowed for computation.
Summary
This calculator accepts the coordinates of two points and outputs the slope of the line passing through those points. It works for both positive and negative slopes, as well as for undefined slopes in the case of vertical lines.