Plotting Coordinates On A Graph Quiz

Explanation
The pair of coordinates for the blue star is (-4, 5). This means that the blue star is located at the point (-4, 5) on a coordinate plane. The first number represents the x-coordinate, which is -4, and the second number represents the y-coordinate, which is 5.

Explanation
The pair of coordinates (4, 1) corresponds to the location of the star. The first number represents the x-coordinate, which tells us the horizontal position of the star on the graph. In this case, the star is located at x = 4. The second number represents the y-coordinate, which tells us the vertical position of the star on the graph. In this case, the star is located at y = 1. Therefore, the correct pair of coordinates for the star is (4, 1).

Explanation
The coordinates (-3,-4) represent the location of the star. The first coordinate, -3, represents the position on the x-axis, indicating that the star is 3 units to the left of the origin. The second coordinate, -4, represents the position on the y-axis, indicating that the star is 4 units below the origin. Therefore, the correct answer is (-3,-4).

Explanation
The correct answer is (1, 3) because if the red smiley face moves down 3 squares from its starting position, the y-coordinate decreases by 3. If it then moves right 7 squares, the x-coordinate increases by 7. Therefore, the final coordinates would be (1, 3).

Explanation
The black smiley face starts at the origin (0,0) and travels 8 miles north, which means it moves 8 units up on the y-axis. Then, it travels 5 miles east, which means it moves 5 units to the right on the x-axis. Finally, it travels 6 miles south, which means it moves 6 units down on the y-axis. Therefore, the final destination would be at the coordinates (5,-8). However, none of the given answer choices match this coordinate. Therefore, the correct answer is not available.

Explanation
The red smiley face starts by traveling 9 miles towards the quadrant the star is in. This means it moves 9 units in the positive x-direction. Then, it travels 10 miles south, meaning it moves 10 units in the negative y-direction. Finally, it moves 1 mile west, which is 1 unit in the negative x-direction.

Combining these movements, we can determine that the final destination of the smiley face is 2 units to the left (negative x) and 4 units down (negative y) from its starting position. Therefore, the correct pair of coordinates for the smiley face's final destination is (2, -4).