The equation \( y = -2x + 3 \) is another linear equation in slope-intercept form, where:

- **\( y \)** is the dependent variable.
- **\( x \)** is the independent variable.
- The coefficient of \( x \), which is **-2**, represents the **slope** of the line.
- The constant term, **3**, is the **y-intercept**.

### Characteristics of the Line:

1. **Slope (m):** The slope is **-2**, indicating that the line falls 2 units vertically for every 1 unit it moves horizontally to the right. This is a negative slope, so the line will slant downwards from left to right.
2. **Y-Intercept (b):** The y-intercept is **3**, meaning the line crosses the y-axis at the point (0, 3).

### Graph of the Line:

To graph this equation:

1. **Start at the y-intercept (0, 3):** Plot this point on the y-axis.
2. **Use the slope to find another point:**
   - From (0, 3), use the slope \(-2\), which means go down 2 units and 1 unit to the right. This brings you to the point (1, 1).
3. **Draw the line:** Draw a straight line through the points (0, 3) and (1, 1).

### Graph Summary:

The line will pass through the y-axis at 3 and will descend at an angle due to the negative slope.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. How can you find the equation of a line given two points?
2. What happens to the graph of a line if you change the slope?
3. How do you determine the x-intercept of a line from its equation?
4. What does a negative slope tell you about the direction of a line?
5. How can you find the point of intersection between two linear equations?

**Tip:** For a negative slope, always remember that as you move to the right, the line will move downward.

Learn how to understand and graph the linear equation y = -2x + 3. This equation is in slope-intercept form, with the slope of -2 and y-intercept of 3. Explore how to graph this line step-by-step, including its characteristics and graph summary. Suitable for Grades 7-9.

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