To solve for the coordinates, let's carefully analyze the steps:
1. Identification of Coordinates:
- The given coordinate is [tex]\((-1, 9)\)[/tex].
2. Understanding Coordinate Points:
- A coordinate in a two-dimensional space is an ordered pair [tex]\((x, y)\)[/tex].
- Here, [tex]\(-1\)[/tex] is the [tex]\(x\)[/tex]-coordinate (the horizontal position on the Cartesian plane).
- The [tex]\(y\)[/tex]-coordinate (the vertical position on the Cartesian plane) is [tex]\(9\)[/tex].
3. Interpreting the Values:
- The [tex]\(x\)[/tex]-coordinate [tex]\(-1\)[/tex] indicates that the point is 1 unit to the left of the origin (since it is negative on the x-axis).
- The [tex]\(y\)[/tex]-coordinate [tex]\(9\)[/tex] indicates that the point is 9 units above the origin on the y-axis.
4. Plotting the Point:
- To plot the point [tex]\((-1, 9)\)[/tex] on a Cartesian plane, start at the origin [tex]\((0, 0)\)[/tex].
- Move 1 unit to the left to reach [tex]\((-1, 0)\)[/tex].
- From there, move 9 units up to reach the final point [tex]\((-1, 9)\)[/tex].
Therefore, the coordinates are [tex]\((-1, 9)\)[/tex].
