Y-Intercept Calculator
Unlock the secrets of linear equations! Calculate the y-intercept of a line with ease using our interactive tool. Enter the slope and any point on the line to find where it crosses the y-axis. Visualize the line on a dynamic graph for a clearer understanding.
Y-intercept (b):
The y-intercept is the point where the line crosses the y-axis. It is calculated using the formula:
Line Visualization
Understanding the Y-Intercept
In mathematics, particularly in coordinate geometry, the y-intercept of a line is the y-coordinate of the point where the line intersects the y-axis. In simpler terms, it's the value of 'y' when 'x' is zero. For a linear equation in the slope-intercept form (y = mx + b), 'b' represents the y-intercept.
Formula and Calculation
To calculate the y-intercept (b), given the slope (m) of a line and a point (x₁, y₁) on the line, we use the formula derived from the slope-intercept form:
b = y₁ - m * x₁
This calculator simplifies this process. Just input the slope (m), the x-coordinate (x₁), and the y-coordinate (y₁) of any point on the line, and with a click, you'll find the y-intercept. The visualization helps to see how the line behaves and where it intersects the y-axis, enhancing your understanding of linear equations.