Pre Algebra X and Y Intercepts

Introduction to pre algebra x and y intercepts:

X - intercept:

In pre algebra, the x-intercept of a line is defined as the point at which the line cuts the X-axis.
The x-intercept is given as ( x, 0 )


Y - intercept:

In pre algebra, the y-intercept of a line is defined as the point at which the line cuts the Y-axis.
The y-intercept is given as ( 0, y )


A few example problems of pre algebra x and y intercept is given below.

Pre Algebra X and Y Intercepts- Example Problem :1

Find x and y intercept of the equation of a line x + 4y =12.

Solution

To find x intercept, plug y = 0 in the equation and solve for x.

x + 4y = 12 ............. Given equation

x + 4(0) = 12 ............. Substitute y = 0 in the given equation

x = 12

Solution: Therefore, the x-intercept = ( 12, 0 ).

To find y intercept, plug x = 0 in the equation and solve for y.

x + 4y = 12 ............. Given equation

0 + 4y = 12 ............. Substitute x = 0 in the given equation

4y = 12

y = 12 / 4 .......    Divide by 4 on left side and right side of the equation

y = 3

Solution: Therefore, the y-intercept = ( 0,3 ).

Pre Algebra X and Y Intercepts- Example Problem :2

Find x and y intercept of the equation y = 4x + 15

Solution

To find x intercept, plug y =0 in the equation and solve for x.

y = 4x + 15 ............. Given equation

0 = 4x + 15 ............. Substitute y = 0 in the given equation

-15 = 4x       .................... Divide by 4 on left side and right side of the equation

-15/4 = x

Solution:  Therefore, the x-intercept is (-15/4, 0)

To find y intercept, plug x = 0 in the equation and solve for y.

y = 4x + 15 ............. Given equation

y = 4(0) + 15 ............. Substitute x = 0 in the given equation

y = 15

Solution: Therefore, the y-intercept is (0, 15)

These are the example problems which are helpful to learn pre algebra x and y intercepts.