Y Intercept
ntercept is a point which intersects on a curve in XY axis of a graph. There are two intercepts. They are called
as X intercept and Y intercept. In this article, we are going to explain x intercept and y intercept for straight
line equation, parabola equation with solved examples.
X and Y intercept for Straight line equation
X-intercept of a line equation is a point where the line crosses x axis in the XY graph. The General form of the
X intercept is (x,0). X intercept value can be calculated by putting the value of Y be zero in the equation.
For Example: We take the line equation as 5x + 5y = 10
Put y = 0 and find the X intercept
5x + 5(0) = 10
5x + 0 = 10
5x = 10
x = 10/5
x = 2, Therefore the x intercept is ( 2 , 0 ).
Y-intercept of a line equation is a point where the line crosses y axis in the XY graph. The General form of the
Y intercept is (0,y). Y intercept value can be calculated by putting the value of X be zero in the equation.

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X and Y intercept for Parabola equation
The general form of parabola equation is y = ax2 + bx + c where a,b and c are parts of the parabola.
Here, x intercepts are the roots of the equation of parabola. The x intercepts are the roots of the equation 0
= ax2 + bx + c. The very common methods to solve the equation are by factoring or by quadratic formula.
The y intercept is (0 , c) for parabola equation.
For example: Solve x intercept and y intercept: y = x2 + 5x + 6
Solution: For x intercept,
0 = x2 + 5x + 6 Set y = 0
0 = (x+3) (x+2) Factorize it
x = -3 , -2 solved it.
The x intercepts are (-3 , 0) and (-2 , 0).
For y intercept,
y = x2 + 5x + 6
set x =0,
y = (0)2 + 5(0) + 6
y = 0 + 0 + 6
y = 6
The y intercept is (0 , 6)
Therefore, x intercept and y intercept are (-3,0) , (-2,0) and (0,6)

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