given that the point (-3,7) is on the graph of an equation that is symmetric with respect to the origin, what is the other point on the graph?

Since the graph of the equation is symmetric with respect to the origin, any point \((x, y)\) on the graph will have a corresponding point \((-x, -y)\) that is also on the graph.

Given that \((-3, 7)\) is on the graph, the other point on the graph would be:

\[
(x, y) = (-(-3), -(7)) = (3, -7)
\]

So, the other point is \((3, -7)\).

Would you like more details on symmetry with respect to the origin or how this concept works in graphs?

Here are 5 related questions:
1. What does symmetry with respect to the x-axis look like on a graph?
2. How can we determine if an equation is symmetric with respect to the origin?
3. What are the other types of symmetries commonly found in graphs?
4. How would this problem change if the symmetry were with respect to the y-axis?
5. Can the point of symmetry itself ever be a point on the graph?

**Tip:** For any graph symmetric with respect to the origin, if \((x, y)\) is a point, \((-x, -y)\) must also be a point.

Given that the point (-3, 7) is on the graph of an equation that is symmetric with respect to the origin, what is the other point on the graph?

Explore how to find the corresponding point on a graph that is symmetric with respect to the origin. In this problem, we determine the other point on the graph given (-3, 7) as a starting point. Learn the mathematical concepts behind graph symmetry, suitable for students in Grades 9-11.

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