Question

translate the point (6, 4) using the following translation. what are the new coordinates?
(x,y) → (x − 7,y + 3)
options: (14, 7); (-1, 1); (-1, 7); (1, 7)

Explanation:

Step1: Identify x and y values

The original point is (6, 4), so \( x = 6 \), \( y = 4 \).

Step2: Apply x - translation

Using the translation rule \( x \to x - 7 \), substitute \( x = 6 \): \( 6 - 7 = -1 \).

Step3: Apply y - translation

Using the translation rule \( y \to y + 3 \), substitute \( y = 4 \): \( 4 + 3 = 7 \).

Step4: Determine new coordinates

The new coordinates are \( (-1, 7) \).

Answer:

C. (-1, 7)