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The problem asks for the equation of a line in **point-slope form** given that the slope is \( m = -7 \) and the line passes through the point \( (-2, -7) \).

The point-slope form of the equation of a line is:

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

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

Substituting the given values \( m = -7 \), \( x_1 = -2 \), and \( y_1 = -7 \), we get:

\[
y - (-7) = -7(x - (-2))
\]

Simplifying this:

\[
y + 7 = -7(x + 2)
\]

This is the equation of the line in **point-slope form**.

Would you like more details on how to use this equation? Feel free to ask any questions!

Here are five related questions:
1. How do you convert a point-slope form equation into slope-intercept form?
2. What is the general formula for the slope of a line between two points?
3. How can the slope of a line indicate whether it is increasing or decreasing?
4. What other forms of the equation of a line exist besides point-slope form?
5. How do you graph a line given its equation in point-slope form?

**Tip**: When working with point-slope form, always substitute the given point and slope values carefully to avoid sign errors.

A line has a slope of -7 and passes through the point (-2, -7). What is its equation in point-slope form?

Learn how to write the equation of a line in point-slope form given the slope (-7) and the point (-2, -7). This problem covers algebraic concepts and is suitable for students in Grades 9-11.

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