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What is the slope of the points on the graph

To determine the slope of the line on the graph, we can use the slope formula:

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

Here, we need to identify two points on the line. From the image, we can visually estimate two points:

1. One point appears to be at \((-4, -2)\).
2. Another point seems to be at \((2, 2)\).

Now, applying the slope formula:

\[
\text{slope} = \frac{2 - (-2)}{2 - (-4)} = \frac{2 + 2}{2 + 4} = \frac{4}{6} = \frac{2}{3}
\]

So, the slope of the line is **\(\frac{2}{3}\)**.

Would you like a more detailed explanation of how the slope is calculated?

Here are 5 related questions:
1. How do you find the equation of a line given its slope and a point on it?
2. What is the difference between positive and negative slope?
3. How can you determine the slope if the graph is steeper or flatter?
4. How do parallel and perpendicular slopes relate to each other?
5. What is the interpretation of slope in real-world problems?

**Tip**: When identifying points from a graph, always double-check coordinates to ensure accuracy, especially if they lie between grid lines.

What is the slope of the points on the graph?

Learn how to determine the slope of a line using two points from a graph. This step-by-step guide walks through using the slope formula, highlighting important concepts from coordinate geometry. Suitable for students in Grades 7-10.

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