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what is the slope of the line as a fraction

To calculate the slope of the line from the image, we need to identify two distinct points on the line. From there, the slope can be found using the slope formula:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

### Step-by-step analysis of the graph:
1. The line passes through two clear points: \((0, -1)\) and \((4, 1)\).
2. Using the formula:
   - \(x_1 = 0\), \(y_1 = -1\)
   - \(x_2 = 4\), \(y_2 = 1\)

Substitute into the slope formula:

\[
\text{slope} = \frac{1 - (-1)}{4 - 0} = \frac{1 + 1}{4} = \frac{2}{4} = \frac{1}{2}
\]

Thus, the slope of the line is \(\frac{1}{2}\).

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Would you like more details or have any questions?

Here are five related questions you could explore:
1. How do you calculate the slope if the line is vertical or horizontal?
2. How does the slope change when the line goes downward instead of upward?
3. Can you determine the equation of the line from the slope and one of the points?
4. How would the graph look if the slope was a negative fraction?
5. What is the relationship between the slope of a line and its steepness?

**Tip:** The larger the absolute value of the slope, the steeper the line.

What is the slope of the line as a fraction?

Learn how to calculate the slope of a line from two given points using the slope formula. This problem covers core algebra and geometry concepts, including linear equations and slope calculation. Suitable for students in Grades 6-8.

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