Question

Suppose point P(4, -9) is translated according to the rule (x,y)→(x+3,y-2). What are the coordinates of P'? Explain.

Answer 1

The coordinates of P' is
`(7,-11)`

Step-by-step explanation:

The coordinates of Point P is
`(4,-9)`

It is given that the point P is translated according to the rule,

`$(x, y) \implies(x+3, y-2)$`

Now, substituting, the values for x and y, we get,

`(4,-9)\implies(4+3,-9-2)`

Adding the values, we get,

`(7,-11)`

Thus, the coordinates of P' is
`(7,-11)`