The equation you've provided is:

$y = -x + 3$

This is a linear equation in slope-intercept form, $y = mx + b$, where:

• $m = -1$ is the slope of the line, meaning the line decreases by 1 unit in the $y$-direction for every 1 unit increase in the $x$-direction.
• $b = 3$ is the y-intercept, meaning the line crosses the $y$-axis at $y = 3$.

To visualize it:

• If you plot this on a graph, the line will go through the point $(0, 3)$ on the $y$-axis.
• The line will slope downward, since the slope is negative.

Would you like to explore more details about this line, such as its graph or specific points on it?

Related Questions:

1. How do you calculate the slope and y-intercept from a graph?
2. How do you find the equation of a line given two points?
3. How can you write this equation in standard form $Ax + By = C$?
4. How would the graph change if the equation was $y = x + 3$?
5. What happens if the equation is written as $y = 3 - x$?

Tip: To graph any linear equation, plot the y-intercept (where $x = 0$) and then use the slope to find another point on the line. Connect the points to draw the line.