# x + by + c = 0 has an x-intercept of 4. x + 2by + c = 0 is parallel to x + by + c = 0, what is the x intercept.

### 1 Answer | Add Yours

Let's rearrange the equations of the lines as below.

`x+by+c = 0`

`by = -x-c`

`y = -1/bx-c/b`

This has a x intercept of 4. That means when y = 0, x=4.

This gives,

`4+0+c = 0`

`c = -4`

`x+2by+c = 0`

`2by = -x -c`

`y = -1/(2b)x-c/(2b)`

The given equations are parallel. Therefore,

`-1/b = -1/(2b)`

`2b = b`

This can only happen only if `b = 0` .

Therefore, the both equations reduces

`x+c = 0`

`c =-4`

`x-4 = 0`

Therefore the x-intercept of second equation is also 4.