Two-point straight line (slope, distance, equation) calculator

X1 =
Y1 =
X2 =
Y2 =
 
Slope：
Distance：
Angle：
Equation：

A Two-point straight line calculator is a tool used to calculate various properties of a straight line given two points that lie on it. The key properties that can be determined are the slope, the distance between the points, and the equation of the line.

1. Slope

The slope of a straight line is a measure of its steepness. It is calculated using the two points on the line (x1,y1) and (x2,y2). The formula for the slope mm m is:

Where:

  • x1​ , y1 are the coordinates of the first point.
  • x2 , y2 ​are the coordinates of the second point.

The slope tells you how much the yy y-coordinate changes for a given change in the xx x-coordinate. A positive slope means the line rises from left to right, while a negative slope means the line falls.

2. Distance

The distance between two points on a straight line is calculated using the distance formula:

This formula gives the straight-line distance between the two points.

3. Equation of the Line

The equation of the straight line passing through two points can be expressed in the point-slope form or slope-intercept form.

  • Point-slope form:
y−y1=m(x−x1)

Where mm m is the slope of the line, and (x1,y1) is one of the points on the line.

  • Slope-intercept form:
y=mx+b

Where:

  • m is the slope.
  • b is the y-intercept, which can be found by substituting the slope m and one of the points (x1,y1) into the equation to solve for b.

4. When to Use a Two-Point Straight Line Calculator

You can use this calculator when:

  • You are given two points on a line and need to find the slope, the distance between the points, and the equation of the line.
  • You need to quickly analyze the geometric properties of a line in a coordinate plane.

How It Works:

  1. Enter two points: The user provides the coordinates of two points on the line.
  2. Calculate slope: The calculator computes the slope using the formula mentioned above.
  3. Calculate distance: It then calculates the distance between the two points using the distance formula.
  4. Generate the equation: Finally, it derives the equation of the line using the point-slope or slope-intercept form.