Joshua and Martina are playing a game where Martina is trying to guess the point Joshua’s boat is on a coordinate plane

Answer 1

Martina: Okay, Joshua, I'm ready to guess the point your boat is on the coordinate plane. Is the boat on the x-axis, y-axis, or somewhere in the coordinate plane?

Joshua: It's somewhere in the coordinate plane, Martina.

Martina: Great! Can you give me any hints about the boat's location?

Joshua: Sure! The x-coordinate of the boat is negative, and the y-coordinate is positive.

Martina: So, the boat is in the second quadrant?

Joshua: That's correct.

Martina: Alright, now I need more specific information. Is the boat closer to the x-axis or the y-axis?

Joshua: It's closer to the y-axis.

Martina: Got it. Just to clarify, the x-coordinate is negative and the y-coordinate is positive. Is the boat's position closer to zero on the y-axis or further away?

Joshua: The boat's position is closer to zero on the y-axis.

Martina: So, the boat must be around (-x, y), where x is a positive number, and y is greater than zero. Let me make a guess. Is the boat's coordinate (-3, 5)?

Joshua: Close, but not quite there. You're a little too far to the left on the x-axis.

Martina: Okay, I'll adjust my guess. How about (-2, 5)?

Joshua: Almost there. You're getting closer on the x-axis, but still a bit too far.

Martina: I see. I'll make another guess then. Is the boat's position (-1, 5)?

Joshua: Yes, that's correct! Well done, Martina!

Martina: Yay! I finally guessed it correctly! Thanks for playing this game with me, Joshua. It was fun!