To graph the line with the given features:

Features:

1. Y-intercept = $-3$: The line crosses the $y$-axis at the point $(0, -3)$.
2. Slope = $-3$: This means that for every 1 unit you move to the right along the $x$-axis, the $y$-coordinate decreases by 3 units.

Steps to graph the line:

1. Plot the Y-intercept:

   • Mark the point $(0, -3)$ on the graph. This is where the line crosses the $y$-axis.

2. Use the Slope:

   • The slope $-3$ can be written as $-3/1$, meaning:
     • From the $y$-intercept, move 1 unit to the right (positive direction on the $x$-axis).
     • Then move 3 units down (negative direction on the $y$-axis).
   • This gives you the next point, $(1, -6)$.

3. Draw the Line:

   • Connect the two points $(0, -3)$ and $(1, -6)$ with a straight line.
   • Extend the line in both directions, ensuring it follows the slope $-3$.

Would you like me to provide a sketch of this graph or further explanations? Let me know!

Related Questions:

1. What is the slope-intercept form of a line, and how is it used for graphing?
2. How can you find the equation of a line given two points on the line?
3. What does a positive slope represent in terms of graph direction?
4. How do horizontal and vertical lines differ in slope and equation?
5. How can you determine the slope and $y$-intercept from a graph?

Tip:

When graphing, always check at least two points to ensure accuracy!