Question

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

Answer 1

Answer: −4x − y = −50 (the second option)

Step-by-step explanation:

The lines have to be parallel in order  to not intersect. The lines would have the same slope and therefore the line must have a slope of -4x

Directions: put each equation in y=mx+b form...

1. y − 4x = −200

  y = 4x - 200

 Problem here is it has a different slope

2. −4x − y = −50

   y = -4x + 50

   Same slope so this is CORRECT

Here you can stop, however for demonstration purposes I will keep going..

3. 4x − y = −200

   y = 4x + 200

   Problem here is it has a different slope

4. −y + 4x = −50

    y = 4x + 50 (divide by -1)

    Problem here is it has a different slope

Answer 2

Answer:

Answer: −4x − y = −50 (the second option)

Step-by-step explanation:

I just took the test.