The given equation is in point-slope form: 

\[
y - y_1 = m(x - x_1)
\]

Where:
- \( m \) is the slope,
- \( (x_1, y_1) \) is a point on the line.

Comparing it with your equation:

\[
y - 5 = -3(x + 9)
\]

This can be rewritten as:

\[
y - 5 = -3(x - (-9))
\]

This tells us:
- The slope \( m = -3 \),
- The point on the line is \( (-9, 5) \).

### Step-by-step process to graph:
1. Start by plotting the point \( (-9, 5) \) on the graph.
2. The slope is \( -3 \), which means for every 1 unit you move to the right along the x-axis, move 3 units down along the y-axis.
3. Draw the line passing through the point \( (-9, 5) \) with a slope of \( -3 \).

Would you like me to create an actual graph for you or would you prefer a detailed breakdown of the graphing steps?

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Here are 5 related questions:
1. How do you convert an equation in point-slope form to slope-intercept form?
2. What is the importance of the slope in understanding the behavior of a line?
3. How would the graph change if the slope were positive instead of negative?
4. Can you explain how to determine the y-intercept from the given equation?
5. What is the standard form of a line, and how does it relate to this equation?

**Tip**: Always check your slope carefully—it tells you how steep the line is and in which direction it moves!

Learn how to graph the line y - 5 = -3(x + 9) using point-slope form. This problem demonstrates key algebraic concepts, including how to identify the slope and a point on the line, and how to graph it step by step. Suitable for students in Grades 8-10.

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