Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues placing pins so that each pin is 1 unit east and 3 units north in relation to the previous pin. Which of the following points will have pins? Select all that apply.

Question

Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues placing pins so that each pin is 1 unit east and 3 units north in relation to the previous pin. Which of the following points will have pins? Select all that apply.

Answer 1

The points that will have pins can be determined by applying the same pattern of moving 1 unit east and 3 units north from the previous pin.

Starting from (4, 3), we can determine the following points:

(4+1, 3+3) = (5, 6)
(5+1, 6+3) = (6, 9)
(6+1, 9+3) = (7, 12)
(7+1, 12+3) = (8, 15)
(8+1, 15+3) = (9, 18)

So, the points (5, 6), (6, 9), (7, 12), (8, 15), and (9, 18) will have pins.