📊 Y Intercept Calculator
Calculate y-intercept (where line crosses y-axis)
The y-intercept is the value b in y = mx + b
How to Use This Calculator
Select Calculation Method
Choose whether you have the y-intercept directly (slope-intercept form) or need to calculate it from a point and slope.
Enter Values
Input the y-intercept b (if using slope-intercept form) or slope m and a point (x, y) (if using point-slope form).
Calculate
Press "Calculate Y-Intercept" to find the y-intercept (where the line crosses the y-axis at x = 0).
Formula
Slope-Intercept: y = mx + b, so y-intercept = b
Point-Slope: b = y - mx
Example 1: y = 2x + 3
Y-intercept: b = 3
Point: (0, 3)
Example 2: Slope m = 2, point (1, 5)
b = 5 - 2×1 = 5 - 2 = 3
Y-intercept: (0, 3)
About Y Intercept Calculator
The Y Intercept Calculator finds the y-intercept (where a line crosses the y-axis). The y-intercept is the y-coordinate when x = 0, represented as point (0, b) or value b in y = mx + b.
When to Use This Calculator
- Algebra: Find y-intercepts of linear equations
- Mathematics: Analyze line equations
- Education: Learn about intercepts
- Graphing: Find points on the y-axis for graphing
Understanding Y-Intercept
The y-intercept is where a line crosses the y-axis (x = 0). In y = mx + b, b is the y-intercept. The line crosses the y-axis at point (0, b).
Frequently Asked Questions
What is the y-intercept?
The y-intercept is where a line crosses the y-axis (x = 0). In y = mx + b, b is the y-intercept. The line crosses at point (0, b).
How do I find the y-intercept from a point and slope?
Use b = y - mx, where (x, y) is a point on the line and m is the slope. This gives the y-intercept value b. The line crosses the y-axis at (0, b).
Can a line have no y-intercept?
Yes! A vertical line (x = constant) never crosses the y-axis (unless it's x = 0, which is the y-axis itself). Vertical lines have no y-intercept.
What if the line passes through the origin?
If a line passes through the origin (0, 0), the y-intercept is 0. In y = mx + b, b = 0, so y = mx.