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# X and Y Intercepts Calculator

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

Our x and y intercept calculator will calculate the value of x and y intercepts for a straight-line equation, function, or expression. Simply input the function and the tool will let you know what coordinates are linked with it that will assist you to draw its graph.

## What are Intercepts?

Particular points on a graph from which a straight line passes are known as intercept(s).

### Coefficients of X and Y Intercepts:

Suppose you have the following linear function:

Ax + By = C

Here we have:

• A as coefficient of x intercept
• B as the coefficient of y intercept
• When it comes to C, it’s a constant term

### How To Find Intercepts?

To find the x intercept, you can use an x-intercept calculator, and same as for finding y, you can take the assistance of a y-intercept calculator. Let us suppose the following equation below:

$$4x+7y=2$$

#### x-intercept:

The x intercept calculator Puts y = 0 in above expression to determine this coordinate:

$$4x+7\left(0\right)=2$$

$$4x=2$$ $$4x=\dfrac{2}{4}$$

$$x=\dfrac{1}{2}$$

#### y-intercept:

Put x = 0 in the given equation:

$$4\left(0\right)+7y=2$$

$$0+7y=2$$

$$7y=2$$

$$y=\dfrac{2}{7}$$

The required intercepts are:

x-intercept:

$$\dfrac{1}{2}, 0$$

y-intercept:

$$0, \dfrac{2}{7}$$

### How Does X and Y Intercept Calculator Work?

Our x and y intercepts calculator is specially intended to solve for the coordinates that define the slope and a linear line on the graph. Let’s discuss how you can use it!

Input:

• Input your function, equation, or expression in the field and hit the calculate button

Output:

• X and y intercepts
• Displays the graph containing the determined points

## References:

From the source of Wikipedia: Intercept, Quadrant (plane geometry), Mnemonic From the source of Khan Academy: Quadrants on the coordinate plane, Points