Question
What are the coordinate points of 𝐸′ E'E
′
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
′
=
Answers
GPT-4o mini
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:
\[
E' = (-37, 46)
\]
\[
E = (3, 7)
\]
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:
\[
E' = (-37, 46)
\]