Answered

Find solutions to your questions with the help of IDNLearn.com's expert community. Ask your questions and receive comprehensive, trustworthy responses from our dedicated team of experts.

Translate the point A(-3, 7) using the vector (-4, 6). What are the coordinates of the image?

Sagot :

GinnyAnsweridn
To solve the problem of translating point A with coordinates (-3, 7) by the vector (-4, 6), follow these steps:

1. Understand the concept of translation: Translation involves moving a point a certain distance in a given direction. This is done by adding the components of the vector to the coordinates of the point.

2. Identify the components:
- Initial coordinates of point A are [tex]\( A(-3, 7) \)[/tex].
- Translation vector is [tex]\( (-4, 6) \)[/tex].

3. Apply the translation to the x-coordinate:
- Initial x-coordinate of point A is [tex]\( -3 \)[/tex].
- The x-component of the vector is [tex]\( -4 \)[/tex].
- New x-coordinate is found by adding these: [tex]\( -3 + (-4) = -3 - 4 = -7 \)[/tex].

4. Apply the translation to the y-coordinate:
- Initial y-coordinate of point A is [tex]\( 7 \)[/tex].
- The y-component of the vector is [tex]\( 6 \)[/tex].
- New y-coordinate is found by adding these: [tex]\( 7 + 6 = 13 \)[/tex].

5. Combine the new coordinates:
The new coordinates of point A after translation are [tex]\( (-7, 13) \)[/tex].

Thus, the coordinates of the image after translating point A by the vector [tex]\( (-4, 6) \)[/tex] are [tex]\( (-7, 13) \)[/tex].
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.