Question

Can somebody explain how to do this quickly. Already know how to solve it but it takes me a long time

Answer 1

Answer:

• n = 8

Step-by-step explanation:

Initial point: (1, -2)

Final point: y = x

Blue light translation:

• 4 units right, 5 units down
• Number of translations = n

Red light translation:

• 1 unit left, 4 units up
• Number of translations = 15

Final point is going to be:

• x = 1 + 4n - 15*1 = 4n - 14
• y = -2 - 5n + 15*4 = -5n + 58

Since the coordinates of final point are same, we have:

• 4n - 14 = -5n + 58
• 4n + 5n = 58 + 14
• 9n = 72
• n = 72/9
• n = 8