Question

Plot a point at (-2, 4), and another point 7 units directly down from (2, 4). Now, plot two more points such that the four points on the coordinate plane form a rectangle with a perimeter of 26 units. Provide the coordinates of these two additional points.

Answer 1

Plot a point at (-2, 4), and another point 7 units directly down from (2, 4), the coordinates of the other two points are (5, 4) and (9, -3).

Step-by-step explanation:

To plot the given points, we start with the first point (-2, 4) which is plotted 2 units to the left and 4 units up from the origin (0, 0).

Then, we plot the second point 7 units below (2, 4), which gives us (2, -3).

Now, we need to find two additional points that will form a rectangle with a perimeter of 26 units.

Since the rectangle has opposite sides that are equal in length, we can find the length of one side by subtracting the y-coordinate of one point from the y-coordinate of the other point.

In this case, the length of one side is 4 - (-3) = 7 units.

Therefore, the length of the other side must also be 7 units.

To find the additional points, we can move 7 units to the right from (-2, 4) and 7 units to the right from (2, -3).

This gives us the coordinates (-2 + 7, 4) = (5, 4) and (2 + 7, -3) = (9, -3).

So therefore, the coordinates of the additional points are (5, 4) and (9, -3).