X and Y Intercepts of a Line

When represents the straight line graphically the two main attributes of will come out, one is the X-intercept and the other is Y-intercept of the straight line. These two concepts are very simple and easy to understand when draw straight line graphically.


xy-intercepts

X-intercept is defined as when we draw a straight in a Cartesian plane i.e. XY-plane and the straight line cuts the X-axis at one point say a and this point of intersection is called X-intercept of a straight line and at this point value of Y-axis is zero i.e. y = 0. X-intercept is usually represented by an ordered pair \left(  {a,0} \right).

Similarly, Y-intercept can be found where the straight line cuts the Y-axis at one point say b and this point of intersection is called Y-intercept of a straight line and at this point value of X-axis is zero i.e. x = 0. Y-intercept is usually represented by an ordered pair \left( {0,b} \right).
Algebraically we can find X-intercept and Y-intercepts of straight line ax + by + c = 0 by setting the values y = 0 and x = 0 respectively.

Example: Find the X- and Y-intercepts of the given straight line 2x + 4y = 16

To find X-intercept put y = 0 in the above equation of straight line as

2x  + 4\left( 0 \right) = 16 \Rightarrow x = 8


Therefore, X-intercept is \left( {8,0} \right).

Similarly To find Y-intercept put x = 0 in the above equation of straight line as

2\left(  0 \right) + 4y = 16 \Rightarrow y = 4


Therefore, Y-intercept is \left( {0,4} \right).

Comments

comments