To plot the point $(-7, 3)$ on a coordinate plane:

1. Understand the Point:

   • The first value, $-7$, is the x-coordinate. It determines the position along the horizontal axis.
   • The second value, $3$, is the y-coordinate. It determines the position along the vertical axis.

2. Locate the Coordinates:

   • Move 7 units to the left of the origin (since $-7$ is negative on the x-axis).
   • From that point, move 3 units up (since $3$ is positive on the y-axis).

3. Mark the Point:

   • Place a dot at the intersection of $-7$ on the x-axis and $3$ on the y-axis.

Let me know if you would like me to generate a plot showing this point visually!

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Questions for Further Exploration:

1. How do you determine which quadrant a point lies in based on its coordinates?
2. What would happen if either the x-coordinate or y-coordinate were zero?
3. How can multiple points be plotted to form a geometric shape like a triangle or square?
4. How do you calculate the distance from this point to the origin?
5. How do you find the slope between this point and another given point?

Tip:

Remember, points in the second quadrant (like $(-7, 3)$) always have a negative x-coordinate and a positive y-coordinate!