Final answer:
The slope of the equation y = x/3 - 6 is 1/3, and the y-intercept is -6. The slope represents a rise of 1 unit for every 3 units of run on the x-axis, and the y-intercept indicates where the line crosses the y-axis.
Step-by-step explanation:
To find the slope and y-intercept of the equation y = x/3 - 6, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept. In this equation, x/3 represents the slope (rise over run), which is 1/3. This means for every increase of 3 units in x, y will increase by 1 unit. The term -6 represents the y-intercept, which is the value of y when x equals 0. Therefore, the slope is 1/3, and the y-intercept is -6.