Interpret the y intercept : 2

  Interpret the y intercept is finding the value of y when x = 0. Here the word interpret defines the y – intercept in words. The y – intercept can be found for linear and non – linear equation. In a graph the y – intercept lies on x- axis because here x equal 0.

Example problems - Interpret the y intercept:

 

Find the value of y – intercept in the equation y= 5x2+ 18.

Solution:

The given equation is y= 5x2+ 18.

To find the y – intercept substitute the value of x as 0 in the above equation.

y= 5x2+ 18.

y= 5(0)2+ 18.

y= 0+18.

y=18.

(0,18) is the ordered pair.

Find the value of y – intercept in the equation y= (3x-1) + 28.

Solution:

The given equation is y= (3x-1) +28.

To find the y – intercept substitute the value of x as 0 in the above equation.

y= (3x-1) + 28.

y= (3(0)-1) +2 8.

y= (0-1) +28

y=-1+28

y=27.

(0, 27) is the ordered pair.

Find the value of y – intercept in the equation y= (3x-1) +14(x+1).

Solution:

The given equation is y= (3x-1) +14(x+1).

To find the y – intercept substitute the value of x as 0 in the above equation.

y= (3x-1) +14(x+1)

y= (3(0)-1) +14((0) +1)

y= (0-1)+14(0+1)

y= (-1) +14 (1)

y= -1 +14

y=13

(0, 13) is the ordered pair.

 

 

More Example problems - Interpret the y intercept:

 

Find the value of y – intercept in the equation y= (3x-1) +14(x+1).

Solution:

The given equation is y= (3x-1) +14(x+1).

To find the y – intercept substitute the value of x as 0 in the above equation.

y= (3x-1) +14(x+1)

y= (3(0)-1) +14((0) +1)

y= (0-1) +14(0+1)

y= (-1) +14 (1)

y= -1 +14

y=13

(0, 13) is the ordered pair.

Find the value of y – intercept in the equation y= (12x-4) + (10x+15).

Solution:

The given equation is y= (12x-4) + (10x+15).

To find the y – intercept substitute the value of x as 0 in the above equation.

y= (12x-4) + (10x+15).

y= (12(0)-4) + (10(0) +15).

y= (0-4) + (0+15)

y= (-4) + (15)

y= -4+15

y=11

(0, 11) is the ordered pair.

Find the value of y – intercept in the equation y= (x-0) + (10+15) x.

Solution:

The given equation is y= (x-0) + (10+15) x.

To find the y – intercept substitute the value of x as 0 in the above equation.

y= (x-0) + (10+15) x.

y= (0-0) + (10+15) (0).

y= (0-0) + (25)(0)

y= 0 + 0

y= 0

(0, 0) is the ordered pair.

These are the examples of interpret the y intercept.