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What is the slope of the points on the graph

To determine the slope of the line on this graph, we need to select two points from the graph and use the slope formula:

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

From the image, we can identify two points where the line crosses grid intersections:
- The first point looks to be at \((0, 0)\), the origin.
- The second point appears to be \((6, -6)\).

Now we can apply the slope formula:
\[
\text{slope} = \frac{-6 - 0}{6 - 0} = \frac{-6}{6} = -1
\]

So, the slope of the line is **-1**.

Would you like further explanation or have any questions?

Here are 5 related questions to consider:
1. How does changing the slope affect the direction of a line on a graph?
2. What does a slope of 0 mean for the line?
3. How do you find the equation of a line if you are given the slope and a point on the line?
4. Can the slope of a vertical line be defined? Why or why not?
5. How do you determine if two lines are perpendicular by comparing their slopes?

**Tip:** The slope of a line tells you how much the \(y\)-value changes for every unit increase in the \(x\)-value. A negative slope means the line goes downward from left to right.

What is the slope of the points on the graph?

Determine the slope of a line passing through two points on a coordinate graph. This problem involves using the slope formula and understanding the concept of slope in coordinate geometry. Suitable for students in Grades 7-9.

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