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X and Y Intercepts Calculator

Enter the linear function equation, and the tool will calculate the x and y intercepts for it

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X and Y Intercept Calculator

Our X and Y intercept calculator finds the coordinates where a line or function crosses the axes. Simply input your linear equation or function, and the tool will calculate the x- and y-intercepts, helping you plot its graph accurately.

What are Intercepts?

Intercepts are specific points where a graph crosses the x-axis or y-axis.

Linear Function Form

Consider a linear equation in standard form:

Ax + By = C

Where:

A is the coefficient of x (used for x-intercept)
B is the coefficient of y (used for y-intercept)
C is the constant term

How to Find Intercepts

X-Intercept: Set y = 0 in the equation and solve for x.

Y-Intercept: Set x = 0 in the equation and solve for y.

Example:

Equation: \( 4x + 7y = 2 \)

X-Intercept:

4x + 7(0) = 2
4x = 2
x = 1/2

Y-Intercept:

4(0) + 7y = 2
7y = 2
y = 2/7

The intercept coordinates are:

X-Intercept: (1/2, 0)
Y-Intercept: (0, 2/7)

How the X and Y Intercept Calculator Works

Input:

Enter your linear equation, function, or expression in the input field and click "Calculate".

Output:

X- and Y-intercept coordinates
Graph showing the line and its intercept points

References

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