Amy is plan her school's new basketball court. the west edge of the basketball court is located on the line y = 5x + 2. the east edge cannot intersect with the west edge. on which line could the east edge be located? −y − 5x = 100 y + 5x = 100 −5x − y = 50 5x − y = 50

5x-y=50

Step-by-step explanation:

we know that

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 = 5x + 2 > the slope of this line is m=5

If the east edge cannot intersect with the west edge

then

east edge and west edge must be parallel

so

The east edge could be

5x-y=50

because

y=5x-50 > the slope of this line is m=5

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: