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

Answer:

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

Step-by-step 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

$x-6y=12\\0-6y=12\\-6y=12\\y=\frac{12}{-6} \\y=-2$

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