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To find the equation of the line shown in the graph, we need to identify its slope and y-intercept.

### Step 1: Identify the y-intercept
The y-intercept is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at \( (0, 3) \). So, the y-intercept \( b = 3 \).

### Step 2: Determine the slope
The slope \( m \) can be calculated using two points on the line. From the graph, let's use the points \( (0, 3) \) and \( (3, 0) \).

Using the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 3}{3 - 0} = \frac{-3}{3} = -1
\]

### Step 3: Write the equation of the line
Using the slope-intercept form \( y = mx + b \), we substitute the values of \( m \) and \( b \):

\[
y = -x + 3
\]

So, the equation of the line is:

\[
y = -x + 3
\]

Would you like more details or have any other questions?

### Related Questions:
1. How do you find the equation of a line given two points?
2. What is the significance of the slope and y-intercept in a linear equation?
3. How do you determine the slope from a graph?
4. What changes occur to the line's equation if the slope or y-intercept is altered?
5. How can you convert a linear equation from standard form to slope-intercept form?

**Tip:** When finding the slope of a line from a graph, use clear points where the line crosses grid lines to ensure accuracy.

Find the equation of the line shown in the graph.

Learn how to find the equation of a line from a graph using the slope-intercept form. This problem demonstrates how to determine the slope and y-intercept from a graph and write the equation of the line. Suitable for students in Grades 8-10.

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