Question

In which directions will Point N(-2, -2) be translated based on the rule (x - 8, y - 4)?

A) Left and Down

B) Right and Up

C) Left and Up

D) Right and Down

Answer 1

The translation rule (x - 8, y - 4) would move Point N(-2, -2) horizontally to the left and vertically downward in the coordinate system, which is option A: Left and Down.

Step-by-step explanation:

When a point is translated based on a rule in the coordinate system, we apply the rule to the point's x and y coordinates to determine its new position. For Point N(-2, -2) and the rule (x - 8, y - 4), we subtract 8 from the x-coordinate and 4 from the y-coordinate.

To apply the rule, we calculate the new coordinates as follows:

• New x-coordinate: -2 - 8 = -10
• New y-coordinate: -2 - 4 = -6

Since the x-coordinate has decreased, the point has moved horizontally to the left side of the coordinate system. Since the y-coordinate has also decreased, the point has moved vertically downward in the coordinate system. Therefore, the answer is Left and Down, which corresponds to option A.