Question

question 6
1 pts
a translation maps j(1,4) onto k(7,-3). find the coordinates of the image of l(5,10) under the same translation.
options: (1, -17), (-1, 17), (11, 3), (-1, -17)

Explanation:

Step1: Find translation vector

To find the translation vector, subtract the coordinates of \( J(1, 4) \) from \( K(7, -3) \). For the \( x \)-coordinate: \( 7 - 1 = 6 \). For the \( y \)-coordinate: \( -3 - 4 = -7 \). So the translation vector is \( (6, -7) \).

Step2: Apply translation to \( L(5, 10) \)

Add the translation vector to the coordinates of \( L(5, 10) \). For the \( x \)-coordinate: \( 5 + 6 = 11 \). For the \( y \)-coordinate: \( 10 + (-7) = 3 \). So the image of \( L \) is \( (11, 3) \).

Answer:

\( (11, 3) \) (corresponding to the option with this coordinate, e.g., if the option is labeled with this, it would be the correct one)