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 \((0,-2)\)
