https://file.aiquickdraw.com/mathbot/file/1725602805250zkf1xpi3.jpg

The problem requires finding the slope of the line passing through the points \((-1, -5)\) and \((1, 2)\), and then graphing the line.

### Step 1: Calculate the Slope
The formula to calculate the slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

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

For the points \((-1, -5)\) and \((1, 2)\):

\[
m = \frac{2 - (-5)}{1 - (-1)} = \frac{2 + 5}{1 + 1} = \frac{7}{2}
\]

So, the slope \( m \) is \(\frac{7}{2}\).

### Step 2: Graph the Line
1. **Plot the Points**: Mark the points \((-1, -5)\) and \((1, 2)\) on the graph.
2. **Draw the Line**: Use a ruler to connect the two points to draw the line. The line should pass through both points and have the slope \( \frac{7}{2} \).

### Verification
The graph in the image confirms that the line has been correctly plotted with the slope \( \frac{7}{2} \).

Would you like to explore this further or have any other questions? Here are some related questions you might find interesting:

1. How do you calculate the slope of a line when given two points?
2. What does the slope of a line represent in a real-world context?
3. How do you find the equation of a line given its slope and a point on the line?
4. Can the slope of a line be negative? If so, what does it indicate?
5. What are the different forms of linear equations?

**Tip**: When graphing a line, it helps to start by plotting the given points first and then draw the line using a straightedge to ensure accuracy.

Find the slope of the line through the points (-1, -5) and (1, 2) and then graph the line.

Learn how to calculate the slope of a line passing through the points (-1, -5) and (1, 2). This problem focuses on key concepts in coordinate geometry, such as the slope formula, and involves step-by-step graphing of the line. Suitable for students in Grades 8-10.

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