https://file.aiquickdraw.com/mathbot/file/17302344349071ixsdozo.jpg

To find the slope, we can use the slope formula between two points:
\[
\text{slope (m)} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Let's use two pairs of points from the table to calculate the slope.

### Step 1: Choose Two Points
From the table:
- Point 1: (5, 5)
- Point 2: (7, 3)

### Step 2: Substitute into the Slope Formula
\[
m = \frac{3 - 5}{7 - 5} = \frac{-2}{2} = -1
\]

The slope is \(-1\).

### Step 3: Select All Equivalent Forms of the Slope
Looking at the options, the equivalent forms of \(-1\) are:
- \(\frac{-2}{2}\)
- \(-1\)

So, the correct answers are:
- \(\frac{-2}{2}\)
- \(-1\)

Would you like further details, or do you have any questions?

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Here are 5 related questions that could deepen understanding:

1. How do you determine if two ratios are equivalent?
2. Can the slope formula be used if the relationship is not linear?
3. How would you calculate the slope if one of the points had a zero coordinate?
4. What does a negative slope indicate about the relationship between \(x\) and \(y\)?
5. How would the slope change if the \(y\)-values were reversed?

**Tip:** When calculating the slope, always check your points and calculations carefully to ensure accuracy!

The following table represents a linear relationship. Select ALL equivalent forms of the slope.

Learn how to calculate the slope of a linear relationship from a table and identify its equivalent forms. This exercise demonstrates key algebra concepts, including the slope formula and understanding linear equations. Suitable for students in Grades 7-9.

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