To find the possible coordinates for point [tex]\( B \)[/tex], given that point [tex]\( A \)[/tex] is located at [tex]\((-7, -3)\)[/tex] and there are 12 points evenly distributed between [tex]\( A \)[/tex] and [tex]\( B \)[/tex], let's proceed with the following steps:
1. Understand the Distribution: Since there are 12 points evenly distributed between [tex]\( A \)[/tex] and [tex]\( B \)[/tex], there are 13 segments along a straight path from [tex]\( A \)[/tex] to [tex]\( B \)[/tex]. Each segment will be of equal length.
2. Define the Distance: Let’s assume that each segment represents a distance of 1 unit along the x-axis. Therefore, the total distance covered by these segments would be 13 units.
3. Calculate [tex]\( x \)[/tex]-Coordinate of [tex]\( B \)[/tex]:
- As [tex]\( A \)[/tex] is at [tex]\((-7, -3)\)[/tex], if we move 13 units to the right along the x-axis, the x-coordinate of [tex]\( B \)[/tex] will be:
[tex]\[
x_2 = x_1 + 13
\][/tex]
Substituting [tex]\( x_1 = -7 \)[/tex]:
[tex]\[
x_2 = -7 + 13 = 6
\][/tex]
4. Consider the [tex]\( y \)[/tex]-Coordinate of [tex]\( B \)[/tex]:
- Since it is not specified that the y-coordinate changes, [tex]\( y_2 \)[/tex] remains the same as [tex]\( y_1 \)[/tex]:
[tex]\[
y_2 = y_1 = -3
\][/tex]
Therefore, the coordinates of point [tex]\( B \)[/tex] would be [tex]\( (6, -3) \)[/tex].
