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.