if you translate point A (-2,6) up 4 units and then right 5 units. what would be the coordinates of the point A'?

(3, 10)

Step-by-step explanation:

A(-2, 6) moved 4 units up = (-2,6+4) = (-2, 10).

Then, moved 5 units to the right = (-2+5, 10) = (3, 10)

(3, 10)

Step-by-step explanation:

For translating points, start with one coordinate at a time. For the x coordinate, when you translate to the right by an amount, you add that amount to x. When you translate to the left you subtract from x. Since we're translating to the right by 5, we add 5 to -2 to get a translated x coordinate of 3.

Next, the y coordinate. For y coordinates, when you translate up you add to the y coordinate, when you translate down you subtract. Since we are going up by 4 units, we need to add 4 to the y coordinate of 6 to get the translated y coordinate of 10.

Combine these two ideas for your final translated point (3, 10)