Final answer:
Shandra's greenhouse has a pitch of 4:12, which translates to a slope of 1/3, indicating the roof rises 1 unit for every 3 units it runs horizontally.
Step-by-step explanation:
Shandra's greenhouse has a roof with a pitch of 4:12. This ratio represents the slope of the roof, which compares the rise (vertical elevation) to the run (horizontal distance). A pitch of 4:12 means that for every 12 units horizontally (the run), the roof rises 4 units vertically (the rise). In slope-intercept form, the slope is the coefficient of the x-term in the equation y = mx + b, where m is the slope.
Thus, converting the pitch to a slope, we divide 4 by 12, which simplifies to 1/3 or approximately 0.3333. This quotient represents the steepness of the roof. Gathering the information provided, Shandra can conclude the slope of her greenhouse roof is 1/3, indicating it is relatively gentle compared to steeper slopes.