`y = m*x+b`

Enter a value for all fields

The Slope Intercept form of a Line utility provides the slope-intercept form of a line based on the value of two points (x₁ , y₁ and x₂ , y₂).

INSTRUCTIONS:  Enter the following:

• (x₁) This is the x coordinate of the first point.
• (y₁) This is the y coordinate of the first point.
• (x₂) This is the x coordinate of the second point.
• (y₂) This is the y coordinate of the second point.

Slope Intercept form of a Line: The utility returns a string with the slope-intercept form of the line.

Related Calculators

• Compute the Slope-Intercept form of a Line based on two points.
• Compute the slope between two points
• Compute the Range value (y) based on the slope-intercept formula of a line and a value of the domain (x).
• Compute the distance between two points
• Compute the slope intercept form of a line from two points
• Compute the mid-point between two points

The  Math / Science

The slope intercept form gives the equation of a line, using the slope (m) and a point on the y-axis (b) as follows:

     y = mx + b

The algorithm looks for the following special cases:

1. If the two points are the same, no line is formed just a point.
2. If the x components are the same, the slope is infinite, and the line has a constant value equal to the x component.
3. If the y components are the same, the slope is zero, and the line has a constant value equal to the y component.

With the slope and intercept (b) from the slope intercept formula, you can enter any value of x and get the corresponding value of y on the line.