To find the slope of the line shown in the graph, we can use the slope formula:

$\text{slope} \, (m) = \frac{y_2 - y_1}{x_2 - x_1}$

Step 1: Identify two clear points on the line.

From the graph, we can select the following two points where the line intersects grid points:

• Point 1: $(-3, 3)$
• Point 2: $(3, -2)$

Step 2: Apply the slope formula.

$m = \frac{-2 - 3}{3 - (-3)}$

Simplify the numerator and denominator:

$m = \frac{-5}{6}$

Step 3: Interpret the result.

The slope of the line is:

$m = -\frac{5}{6}$

This negative slope indicates that the line decreases (falls) as it moves from left to right.

Do you want further explanation, or have any questions about this?

5 Related Questions:

1. How do you find the slope when given two points?
2. What does a positive slope versus a negative slope indicate?
3. How is the slope of a horizontal or vertical line different?
4. How does the slope relate to the equation of a line?
5. Can you calculate the slope from a table of points?

Tip: The steeper the slope (in absolute value), the faster the line increases or decreases.