Step 1 :Set x = 0 in the equation 6x + y = 6 to find the y-intercept.
Step 2 :The y-intercept is \(\boxed{6}\).
Step 3 :Set y = 0 in the equation 6x + y = 6 to find the x-intercept.
Step 4 :The x-intercept is \(\boxed{1}\).
Step 5 :The final answer is: The x-intercept is \(\boxed{1}\) and the y-intercept is \(\boxed{6}\).