https://file.aiquickdraw.com/mathbot/file/1728052416408c5r7z7xh.jpg

To find the slope of the line shown in the image, we can use the coordinates of the two given points: \((-3, 5)\) and \((3, 1)\).

The formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

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

Substituting the points:

\[
m = \frac{1 - 5}{3 - (-3)} = \frac{-4}{3 + 3} = \frac{-4}{6} = -\frac{2}{3}
\]

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

Would you like further details or have any questions?

Here are 5 related questions for further exploration:
1. How do we interpret a negative slope in real-world problems?
2. How would you write the equation of this line in slope-intercept form?
3. Can you find the x-intercept and y-intercept of this line?
4. What would the slope be if the two points were reversed?
5. How does the slope relate to the angle of the line?

**Tip:** The steeper the line, the greater the magnitude of the slope. Negative slopes indicate the line is falling from left to right.

Learn how to find the slope of a line passing through the points (-3, 5) and (3, 1) using the slope formula. This step-by-step solution explains key algebraic concepts, the slope theorem, and helps students understand coordinate geometry. Suitable for Grades 7-9.

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