Collette mapped her vegetable garden on the graph below. Each unit represents 1 foot. Collette plants an 8-foot row of lettuce in the garden. Which points could tell where the row of lettuce starts and ends? (-1,-6) and (8, -6) (-4, -1) and (-4, 7) (-6, -1) and (-6, 8) (-1, -4) and (7, -4) Help please dadhpokanet Login Vohco 50 Home Student Portal Math To Do: Read My computer-fudenudashboard/home Collette mapped her vegetable garden on the graph below: Each unit represents foot. Collette plants an 8-foot row of lettuce in the garden: Which points could tell where the lettuce starts and ends? Row of (-1,-6) and (8, -6) (-4, -1) and (-4, 7) (-6, -1) and (-6, 8) (-1, -4) and (7, -4) Help please Hhraale as
The Correct Answer and Explanation is:
To determine which pair of points shows an 8-foot row of lettuce, we need to:
- Understand that each unit on the graph = 1 foot.
- Use the distance formula or simply subtract coordinates to find the length of each row.
- Only choose the row that measures exactly 8 feet.
Let’s analyze each pair of points:
Option A: (-1, -6) and (8, -6)
- This row is horizontal because the y-values are the same.
- Distance = |8 – (-1)| = |8 + 1| = 9 feet ❌
Option B: (-4, -1) and (-4, 7)
- This row is vertical (same x-values).
- Distance = |7 – (-1)| = |7 + 1| = 8 feet ✅
- This row is exactly 8 feet long.
Option C: (-6, -1) and (-6, 8)
- This is also vertical.
- Distance = |8 – (-1)| = |8 + 1| = 9 feet ❌
Option D: (-1, -4) and (7, -4)
- This is horizontal.
- Distance = |7 – (-1)| = |7 + 1| = 8 feet ✅
- This is also 8 feet long.
So which is correct?
✅ Both Option B and Option D show rows that are 8 feet long. But the question asks for which points could (so plural), so both are valid answers.
Final Answer:
✅ Option B: (-4, -1) and (-4, 7)
✅ Option D: (-1, -4) and (7, -4)
Collette is planting a vegetable garden and maps it on a graph where each unit equals 1 foot. She plants an 8-foot row of lettuce and wants to identify where this row starts and ends. To solve this, we examine the given point pairs to find those that represent a straight line segment that is exactly 8 units (or feet) long.
Explanation:
A line between two points can be either horizontal or vertical. In a horizontal row, the y-values are the same and we subtract the x-values to get the distance. In a vertical row, the x-values are the same and we subtract the y-values.
We analyze each option:
- Option A is a horizontal row with coordinates (-1, -6) and (8, -6). The length is 9 feet, so it’s too long.
- Option B is a vertical row with points (-4, -1) and (-4, 7). The distance is |7 – (-1)| = 8 feet. This is a valid row.
- Option C is also vertical: (-6, -1) and (-6, 8). The length is 9 feet—not correct.
- Option D is horizontal: (-1, -4) to (7, -4). The distance is |7 – (-1)| = 8 feet. Also valid.
So, Option B and Option D both correctly represent 8-foot rows of lettuce. Since the question uses “could,” it suggests multiple correct answers. Thus, both options are acceptable.
