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

The equation \( y = 5x + 2 \) represents a line with a slope of 5. For the east edge of the basketball court to avoid intersecting this line, its equation has to have a slope that is either less than or greater than 5 but should not equal it, as parallel lines have the same slope and will never meet. Option (c) \( y + 5x = 100 \) can be rearranged to \( y = -5x + 100 \), which has a slope of -5. The negative slope indicates that this line is not parallel and thus does not intersect with the original line. Additionally, option (d) \( -5x - y = 50 \) rearranges to \( y = -5x - 50 \), it also has a slope of -5, similar to option (c). Hence both options (c) and (d) could be valid. However, for a basketball court, one could prefer a more horizontal lighter slope to ensure enough play area. So, with choices based on avoiding intersections, the east edge could potentially be \( y = -5x + 100 \) or \( y = -5x - 50 \).