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To find the slope of a line passing through two points, we use the formula for the slope \( m \):

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

The given points are \( (-3, 3) \) and \( (5, 9) \). Labeling these:

- \( x_1 = -3 \), \( y_1 = 3 \)
- \( x_2 = 5 \), \( y_2 = 9 \)

Now, substitute these values into the slope formula:

\[
m = \frac{9 - 3}{5 - (-3)} = \frac{6}{5 + 3} = \frac{6}{8} = \frac{3}{4}
\]

Thus, the slope of the line is \( \frac{3}{4} \).

Would you like further details or clarification?

Here are 5 related questions:
1. How do you find the equation of the line given its slope and a point?
2. What is the difference between positive and negative slope in a line?
3. How do you calculate the slope if the line is vertical?
4. How do you calculate the slope if the line is horizontal?
5. What does the slope of a line tell us about its steepness?

**Tip:** A slope of \( \frac{3}{4} \) means that for every 4 units the line moves horizontally, it rises by 3 units.

Find the slope of the line passing through the points (-3, 3) and (5, 9).

This problem teaches how to find the slope of a line using the formula m = (y2 - y1) / (x2 - x1). It provides a step-by-step solution for finding the slope between points (-3, 3) and (5, 9), ideal for students in Grades 7-9.

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