Final answer:
The slope of the equation 2x - 6y = -6 is 1/3 and the y-intercept is 1.
Step-by-step explanation:
The equation 2x - 6y = -6 can be rewritten in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
To find the slope, isolate y in the equation and rearrange it to the slope-intercept form: -6y = -2x - 6. Dividing both sides by -6 gives y = (1/3)x + 1.
Therefore, the slope is 1/3 and the y-intercept is 1.