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To write an equation in point-slope form, we use the formula:

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

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

For the given problem:
- The point is \((-6, -3)\), so \(x_1 = -6\) and \(y_1 = -3\).
- The slope \(m\) is \(-1\).

Let's substitute these values into the formula:

\[
y - (-3) = -1(x - (-6))
\]

Simplify the equation:

\[
y + 3 = -1(x + 6)
\]

This is the point-slope form of the equation.

To further simplify, you can expand and rearrange it into slope-intercept form (\(y = mx + b\)) if needed:

\[
y + 3 = -x - 6
\]
\[
y = -x - 6 - 3
\]
\[
y = -x - 9
\]

So, the line's equation in slope-intercept form is:

\[
y = -x - 9
\]

Would you like to see the graph of this equation, or do you have questions about any of the steps?

### Related Questions
1. How do you find the slope of a line given two points?
2. What is the difference between point-slope form and slope-intercept form?
3. How can you convert from point-slope form to standard form?
4. Why is point-slope form useful when given a point and a slope?
5. How would the equation change if the slope \( m \) were positive?

### Tip
When working with point-slope form, remember to keep track of the signs for both the coordinates and the slope to avoid calculation errors.

Write an equation in point-slope form for the point (-6, -3) and slope m = -1, then graph the equation.

Learn how to write an equation in point-slope form using the point (-6, -3) and slope -1. This problem covers the point-slope formula and simplifies the result for linear equations. Suitable for Grades 8-10.

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