Certainly! Let's solve the problem step-by-step:
Given points:
- Point [tex]\( P \)[/tex] with coordinates [tex]\( (1, 0) \)[/tex]
- Point [tex]\( Q \)[/tex] with coordinates [tex]\( (0, 0) \)[/tex]
We need to find the differences in their [tex]\( x \)[/tex]-coordinates and [tex]\( y \)[/tex]-coordinates.
1. Calculate the difference in [tex]\( x \)[/tex]-coordinates:
- The [tex]\( x \)[/tex]-coordinate of point [tex]\( P \)[/tex] is [tex]\( 1 \)[/tex].
- The [tex]\( x \)[/tex]-coordinate of point [tex]\( Q \)[/tex] is [tex]\( 0 \)[/tex].
- The difference in [tex]\( x \)[/tex]-coordinates, [tex]\( \Delta x \)[/tex], is given by:
[tex]\[
\Delta x = x_P - x_Q = 1 - 0 = 1
\][/tex]
2. Calculate the difference in [tex]\( y \)[/tex]-coordinates:
- The [tex]\( y \)[/tex]-coordinate of point [tex]\( P \)[/tex] is [tex]\( 0 \)[/tex].
- The [tex]\( y \)[/tex]-coordinate of point [tex]\( Q \)[/tex] is [tex]\( 0 \)[/tex].
- The difference in [tex]\( y \)[/tex]-coordinates, [tex]\( \Delta y \)[/tex], is given by:
[tex]\[
\Delta y = y_P - y_Q = 0 - 0 = 0
\][/tex]
Therefore, the differences in coordinates between points [tex]\( P \)[/tex] and [tex]\( Q \)[/tex] are:
[tex]\[
\Delta x = 1 \quad \text{and} \quad \Delta y = 0
\][/tex]
Hence, the final result is [tex]\((1, 0)\)[/tex].
