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.