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 $(7,-11)$

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 $(7,-11)$