Use the image to answer the question.
A coordinate plane with four quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A triangle is formed by joining three points A B C. The coordinates of the plotted points of the triangle are as follows: Vertex A is left parenthesis 0 comma 0 right parenthesis, vertex B is left parenthesis 6 comma 4 right parenthesis, and vertex C is left parenthesis 9 comma 0 right parenthesis.
If the given triangle ABC is translated 8 units down, what are the coordinates of point B′ ?
To translate a point in the coordinate plane, we simply add or subtract the desired amount to the x and y coordinates of the point.
In this case, we need to translate point B (6, 4) 8 units down. To do this, we subtract 8 from the y-coordinate of B.
The new coordinates of point B' will be:
B' = (6, 4-8)
B' = (6, -4)
So, the coordinates of point B' are (6, -4).