Y-Intercept Calculator
Find the y-intercept (b) given a slope and a point on the line.
This tool is for informational and educational purposes only. It is not a substitute for professional financial, medical, legal, or engineering advice. See Terms of Service.
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Request a ToolHow to Use the Y-Intercept Calculator
This tool finds the y-intercept of a line when you know the slope and one point on the line.
- Enter the slope. Provide the slope m.
- Enter a point. Provide x1 and y1 coordinates of any point on the line.
- View the result. The y-intercept (b) and full equation update instantly.
About the Y-Intercept
The y-intercept is the point where a line crosses the y-axis, occurring when x = 0. In slope-intercept form y = mx + b, the value b is the y-intercept. Given a slope m and a point (x1, y1) on the line, b = y1 - m * x1. The y-intercept is one of the most basic descriptors of a linear function and appears in regression analysis, economics, and countless math problems.
Frequently Asked Questions
How do you find the y-intercept from slope and a point?
Use the formula b = y1 - m * x1. Plug in the slope and the coordinates of the known point.
What does the y-intercept represent?
The y-intercept is the y-value where the line crosses the y-axis (when x = 0). In real-world contexts it often represents a starting value or fixed cost.
Can the y-intercept be negative?
Yes. A negative y-intercept means the line crosses the y-axis below the origin.