Question

Erin is using a computer drawing program to make two-dimensional sketches of an airplane. The nose of the plane is located at the point with coordinates (–2, 3). If she translates the sketch 4 units down and 5 units right, what will the coordinates of the nose of the plane be?

Answer 1

Explanation:

If Erin translates the sketch 4 units down and 5 units right, the x-coordinate of the nose of the plane will increase by 5 and the y-coordinate will decrease by 4, since moving right and down correspond to positive and negative changes in the coordinates, respectively.

So the new coordinates of the nose of the plane will be:

x-coordinate: -2 + 5 = 3

y-coordinate: 3 - 4 = -1

Therefore, the new coordinates of the nose of the plane will be (3, -1).

Answer 2

Erin's airplane sketch, initially at (-2, 3), is translated 4 units down and 5 units right. The new coordinates of the nose become (3, -1), as correctly stated in option A.

Erin's airplane sketch has its nose at the coordinates (-2, 3). When she translates it 4 units down and 5 units right, each coordinate undergoes a corresponding change.

The vertical movement downward adjusts the y-coordinate by -4 (4 units down), and the horizontal movement rightward shifts the x-coordinate by +5 (5 units right).

Therefore, the new coordinates of the nose of the plane are obtained by applying these changes: (-2 + 5, 3 - 4), resulting in (3, -1). Option A, 3,-1, correctly represents the translated location of the nose of the plane after the specified movements.