https://file.aiquickdraw.com/mathbot/file/17284962274808hce7j2r.jpg

To analyze this line, let’s find its **slope** and **y-intercept** to determine the equation.

### Step 1: Determine the Slope
To find the slope \((m)\), we need two points on the line. Here are two that are clearly visible:
- Point 1: \((-3, -2)\)
- Point 2: \((0, 2)\)

Using the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Substitute the coordinates of the two points:
\[
m = \frac{2 - (-2)}{0 - (-3)} = \frac{4}{3}
\]

So, the **slope** is \( \frac{4}{3} \).

### Step 2: Identify the Y-Intercept
The line crosses the y-axis at \( y = 2 \), which means the **y-intercept** is \( b = 2 \).

### Step 3: Write the Equation of the Line
The equation of a line in slope-intercept form is:
\[
y = mx + b
\]
Substitute \( m = \frac{4}{3} \) and \( b = 2 \):
\[
y = \frac{4}{3}x + 2
\]

### Final Answer
The equation of the line is:
\[
y = \frac{4}{3}x + 2
\]

Would you like further details or have any questions about this solution?

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Here are five related questions you might explore:

1. How would you find the equation of a line given only one point and the slope?
2. What are other ways to determine the slope from a graph?
3. How can you find the x-intercept of this line?
4. What does it mean if two lines have the same slope but different y-intercepts?
5. How would the graph change if the slope was negative?

**Tip:** When reading a graph, look for points where the line intersects grid lines to find exact coordinates for accurate slope calculations.

A straight line is shown on the coordinate grid. Determine the equation of the line.

Learn how to determine the equation of a straight line from a graph. This problem uses key concepts like slope calculation and the slope-intercept formula. Suitable for students in Grades 8-10.

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