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X and Y Intercept Calculator
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The x-intercept is the x-value point where the relation or function of a graph intersects or cuts the x-axis of the system of coordinate. The y-intercept is the y-value point where the relation or function of a graph intersects or cuts the y-axis of the system of coordinate.
X and Y Intercept Calculator calculates the x-intercept and y-intercept when the coefficients of the straight line equation are given.

For example, To find the x and y intercept for x + 2y = 4 using X and Y Intercept Calculator. We have to just enter 1, 2 and 4 and click calculate button, then the calculator will automatically show the output as x intercept = (4, 0) and y intercept = (0, 2).
 

Steps for X and Y Intercept Calculator

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Step 1 :  

Observe the given straight line and note down the values of the coefficients and constants.



Step 2 :  

To find x-intercept:



  • Put y=0 in the given equation and then solve for x using inverse-operation.

  • The x-intercept is ( x value , 0 ).


To find y-intercept:



  • Put x=0 in the given equation and then solve for y using inverse-operation.

  • The y-intercept is ( 0 , y-value ).



Problems on X and Y Intercept Calculator

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  1. Find the x-intercept and y-intercept of 2x + y = 4?


    Step 1 :  

    Given equation: 2x + y = 4



    Step 2 :  

    To find x-intercept:


    Put y=0 in the given equation: 2x + y = 4


    $\Rightarrow$ 2x + (0) = 4


    $\Rightarrow$ 2x = 4


    $\Rightarrow$ x = $\frac{4}{2}$ = 2


    find y-intercept:


    Put x=0 in the given equation: 2x + y = 4


    $\Rightarrow$ 2(0) + y = 4


    $\Rightarrow$ 0 + y = 4


    $\Rightarrow$ y = 4



    Answer  :  

    x-intercept = (2, 0)

     

    y-intercept = (0, 4)



  2. Find the x-intercept and y-intercept of x + 3y = 6?


    Step 1 :  

    Given equation: x + 3y = 6



    Step 2 :  

    To find x-intercept:


    Put y=0 in the given equation: x + 3y = 6


    $\Rightarrow$ x + 3(0) = 6


    $\Rightarrow$ x = 6

    To find y-intercept:


    Put x=0 in the given equation: x + 3y = 6


    $\Rightarrow$ (0) + 3y = 6


    $\Rightarrow$ 3y = 6


    $\Rightarrow$ $\frac{6}{3}$ = 2



    Answer  :  

    x-intercept = (6, 0)

     

    y-intercept = (0, 2)



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