It seems there are some formatting issues with the gravitational force formula you've provided. The correct formula for gravitational force is:
\[ F = \frac{G m_1 m_2}{r^2} \]
where:
- \( F \) is the gravitational force between two masses,
- \( G \) is the gravitational constant,
- \( m_1 \) and \( m_2 \) are the two masses,
- \( r \) is the distance between the centers of the two masses.
To solve this formula for the slope, we would typically need to be looking at a graph and what variable represents the y-axis and what represents the x-axis. In the case of gravitational force, if we were to express it in a linear form, we could rearrange the equation to find relationships that represent a slope.
If we were to create a graph with \( F \) as a function of \( (1/r^2) \), the linear form of this can be expressed from the equation:
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Starting from the original formula:
\[ F = G m_1 m_2 \frac{1}{r^2} \]
This could be rewritten as:
\[ F = (G m_1 m_2) \cdot \left( \frac{1}{r^2} \right) \]
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Identify the slope:
In this case, if we graph \( F \) on the y-axis and \( \frac{1}{r^2} \) on the x-axis, the equation represents a straight line where:
\[ \text{Slope} = G m_1 m_2 \]
Thus, the slope of the graph represents the product of the gravitational constant \( G \) and the two masses \( m_1 \) and \( m_2 \).