X and Y Intercept Calculator
Unlock the secrets of linear equations! Enter the slope and y-intercept to instantly find and visualize the intercepts.
m
Enter the slope of the line.
b
Enter the y-intercept of the line.
Results:
x-intercept:
y-intercept:
Line Visualization:
Understanding X and Y Intercepts
In mathematics, the intercepts of a line are the points where the line crosses the horizontal (x) and vertical (y) axes.
- X-intercept: The point where the line crosses the x-axis. At this point, the y-coordinate is always zero. To find the x-intercept, set y = 0 in the line equation and solve for x.
- Y-intercept: The point where the line crosses the y-axis. At this point, the x-coordinate is always zero. The y-intercept is often given directly in the slope-intercept form of a line equation (y = mx + b), where 'b' is the y-intercept.
This calculator uses the slope-intercept form (y = mx + b) to find the intercepts. By inputting the slope (m) and y-intercept (b), it calculates the x-intercept and visualizes the line and its intercepts on a graph. Use this tool to quickly understand and verify your linear equation solutions or for educational purposes.
Learn more about intercepts on resources like Math is Fun and Khan Academy.