Question

The point ( -3, 15 ) undergoes a translation of 9 units right and 10 units down. What are 5he coordinates of the new point.​

Answer 1

A point is set up like (x,y)

Since horizontal movement is movement in the x-axis, the x part of the point would change.

Since horizontal changes appear as the opposite inside the parentheses, 9 units right would be -9

-3-9= -12

A change up or down is a change in the y-axis. So, 10 units down would be 15-10=5

So, the new point is (-12,5)

Answer 2

Answer: The required co-ordinates of the new point are (6, 5).

Step-by-step explanation: Given that the point (-3, 15) undergoes a translation of 9 units right and 10 units down.

We are to find the co-ordinates of the new point.

We know that

if the point (x, y) undergoes a translation of 9 units right and 10 units down, then its translation rule is given by

(x, y) ⇒ (x+9, y-10).

Therefore, the co-ordinates of he new point are given by

(-3, 15) ⇒ (-3+9, 15-10) = (6, 5).

Thus, the required co-ordinates of the new point are (6, 5).