Question 7 (1 point) $$ \begin{array}{l} ext { (04.02 MC) } \ ext { Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line } y=5 x+2 ext {. The east edge cannot } \ ext { intersect with the west edge. On which line could the east edge be located? } \ ext { a } \quad-y-5 x=100 \ ext { c } \quad y+5 x=100 \ ext { d } \quad-5 x-y=50 \ 5 x-y=50\end{array} $$

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Question 7 (1 point) $$ \begin{array}{l}	ext { (04.02 MC) } \ 	ext { Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line } y=5 x+2 	ext {. The east edge cannot } \ 	ext { intersect with the west edge. On which line could the east edge be located? } \ 	ext { a } \quad-y-5 x=100 \ 	ext { c } \quad y+5 x=100 \ 	ext { d } \quad-5 x-y=50 \ 5 x-y=50\end{array} $$

UpStudy AI · Accepted Answer

To ensure the east edge does not intersect with the west edge of the basketball court, the two lines must be **parallel**.

The west edge is on the line $$ y = 5x + 2 $$, which has a slope of **5**. Therefore, the east edge must also have a slope of **5**.

Let's examine the options:

- **a)** $$ -y - 5x = 100 $$  
  Rearranged: $$ y = -5x - 100 $$  
  **Slope:** -5

- **c)** $$ y + 5x = 100 $$  
  Rearranged: $$ y = -5x + 100 $$  
  **Slope:** -5

- **d)** $$ -5x - y = 50 $$  
  Rearranged: $$ y = -5x - 50 $$  
  **Slope:** -5

- **5x - y = 50**  
  Rearranged: $$ y = 5x - 50 $$  
  **Slope:** 5

Only the line $$ 5x - y = 50 $$ has a slope of **5**, making it parallel to the west edge.

**Answer:** $$ 5x - y = 50 $$
The east edge should be on the line $$ 5x - y = 50 $$ to be parallel and not intersect with the west edge.

Question 7 (1 point)

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