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Please answer my question, and if you can please provide an explanation so I can learn from it. 50 POINTS.


Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = −4x. The east edge cannot intersect with the west edge. On which line could the east edge be located?

y − 4x = −200
−4x − y = −50
4x − y = −200
−y + 4x = −50

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bluegreen24

Answer: -4x - y = -50 (second option)

Step-by-step explanation: The only way lines won't intersect is if they're parallel. Parallel lines have the same slope --> the line must have a slope of -4x.

Option 1:

  • y = 4x - 200 (add 4x to both sides)
  • Different slope.

Option 2:

  • -y = 4x - 50 (add 4x to both sides)
  • y = -4x + 50 (divide by -1)
  • Same slope.

Option 3:

  • -y = -4x - 200 (subtract 4x from both sides)
  • y = 4x + 200 (divide by -1)
  • Different slope.

Option 4:

  • -y = -4x - 50 (subtract 4x from both sides)
  • y = 4x + 50 (divide by -1)
  • Different slope.

−4x − y = −50 line could the east edge be located because the slope of this line is same, which is correct option(B).

What are parallel lines?

Two lines are said to be parallel if they do not intersect each other at any point in the plane.

If two lines are parallel, then their slopes are the same.

In this problem,

The west edge of the basketball court is located on the line

⇒ y = −4x  

The slope of this line is m = -4

If the east edge cannot intersect with the west edge then, east edge and west edge must be parallel.

The east edge could be

−4x − y = −50

y = -4x + 50

because −4x − y = −50  the slope of this line is m = -4

Hence, −4x − y = −50 line could the east edge be located.

Learn more about parallel lines here:

brainly.com/question/2456036

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