Write a description of each rule
2. (x,y) --> (x + 5, y - 2)
(-5 , 2), (x , y).
(X - (-5)) = (X + 5), (Y - 2).
The given rule is a transformation rule in the form of (x, y) --> (x + 5, y - 2). This rule instructs you on how to modify the coordinates of a point (x, y) by adding 5 to the x-coordinate and subtracting 2 from the y-coordinate to obtain a new point.
Let's break it down step-by-step to understand how the rule works:
1. Start with a point (x, y).
2. Add 5 to the x-coordinate: x + 5.
3. Subtract 2 from the y-coordinate: y - 2.
4. The new transformed point is (x + 5, y - 2).
For example, if you have a point (3, 7), applying this rule will give you:
(3, 7) --> (3 + 5, 7 - 2)
(8, 5)
So, the point (3, 7) transforms to (8, 5) according to this rule.