High School Slope and Y-Intercept Calculator
Enter two points to calculate the slope (m), y-intercept (b), and graph the line.
Point 1
Point 2
Equation of the Line
Slope (m)
Y-Intercept (b)
Calculation Steps
Coordinate Plane
About the Slope and Y-Intercept Calculator
In algebra, straight lines are fundamental. The two most critical characteristics of any linear equation are its slope and its y-intercept. This calculator allows you to input any two distinct coordinates to instantly derive the equation of the line connecting them.
What is Slope (m)?
Slope represents the steepness and direction of a line. It is often described as “Rise over Run.”
Formula: m = (y₂ – y₁) / (x₂ – x₁)
- Positive Slope: The line goes up from left to right.
- Negative Slope: The line goes down from left to right.
- Zero Slope: A horizontal line.
- Undefined Slope: A vertical line (cannot divide by zero).
What is the Y-Intercept (b)?
The y-intercept is the point where the graph crosses the y-axis. At this point, the x-value is always 0. In the Slope-Intercept equation y = mx + b, the variable b represents this value.
Why use a Slope and Y-Intercept Calculator?
Manually calculating slopes involving negative numbers or fractions is a common source of error in homework. This tool not only performs the arithmetic but also generates a dynamic graph showing the “triangle” of rise and run, helping visual learners understand the connection between the algebraic ratio and the geometric steepness.
FAQ
Yes, this tool is completely free and runs in your browser without downloads.
If the x-coordinates are the same, the run is zero. Division by zero is impossible, so the slope is “Undefined.” This creates a vertical line (x = constant).
It accepts decimals as inputs and provides decimal outputs rounded to four significant digits for precision.
While this tool focuses on Slope-Intercept form (y=mx+b), standard form is Ax + By = C. You can convert between them algebraically.