Question

Find the x and y intercept of the line. x-6y=12

Answer 1

the x-intercept is 12 and the y-intercept is -2

Answer 2

The interceptions are
`(12,0)` and
`(0,-2)` respectively

Explanation:

Given the equation of the line :

`x-6y=12`

In order to find the interception of the line with the x-axis we need to replace in the equation with ''
`y=0`'' and find the value of x that satisfy this ⇒

If
`y=0` therefore

`x-6y=12\\x-6(0)=12\\x=12`

So the line intercepts the x-axis in the point
`(12,0)`

Finally, in order to find the interception of the line with the y-axis we need to replace in the equation with ''
`x=0`'' and find the value of y that satisfy this ⇒

If
`x=0` therefore

`x-6y=12\\0-6y=12\\-6y=12\\y=(12)/(-6) \\y=-2`

So the line intercepts the y-axis in the point
`(0,-2)`