Find three points that satisfy the following conditions.
The x-coordinate and the y-coordinate are additive inverses of each other.
Any help or clues would be very much appreciated.
an additive inverse of a number is simply its opposite
e.g. the additive inverse of 5 is -5
so an example of your case would be
(4,-4) , the x is the additive inverse of the y
You pick any other two.
To find three points that satisfy the condition where the x-coordinate and the y-coordinate are additive inverses of each other, you can use the following approach:
1. Start by assuming a value for one coordinate. Let's assume a value for the x-coordinate. For example, let's say x = 2.
2. Since the x-coordinate and the y-coordinate are additive inverses, the y-coordinate would be the additive inverse of the chosen x-coordinate. In this case, y = -2.
3. The point with these coordinates is (2, -2). This point satisfies the condition.
4. To find two more points, you can repeat steps 1-3 with different values for the x-coordinate.
- For example, if you choose x = 3, then y would be -3. The point would be (3, -3).
- Another example: If you choose x = -4, then y would be 4. The point would be (-4, 4).
So, three points that satisfy the condition where the x-coordinate and the y-coordinate are additive inverses of each other are:
(2, -2), (3, -3), and (-4, 4).