What are the coordinate points of 𝐸′ E'E

Question

′
if 𝐸 EE is translated left 40 and up 39 ? Click for Help Video

𝐸=(3,7) E=\left(3,7\right)E=(3,7)

Make sure that your answer is in parenthesis!

𝐸′= E'=E
′
=

Answer 1

To find the coordinates of \( E' \) after translating \( E \) left by 40 units and up by 39 units, we start with the original coordinates of \( E \):

\[ E = (3, 7) \]

1. Translate left by 40: This means we subtract 40 from the x-coordinate: \[ x' = 3 - 40 = -37 \]

2. Translate up by 39: This means we add 39 to the y-coordinate: \[ y' = 7 + 39 = 46 \]

Putting these together, the new coordinates \( E' \) after the translation are:

\[ E' = (-37, 46) \]

Thus, the final answer is:

\[ E' = (-37, 46) \]