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To write the equation of the line in point-slope form, we use the following formula:

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

Where:
- \((x_1, y_1)\) is the given point,
- \(m\) is the slope.

Given:
- Point \((-3, -2)\),
- Slope \(m = 1\).

Now, substitute these values into the formula:

\[
y - (-2) = 1(x - (-3))
\]

Simplify:

\[
y + 2 = 1(x + 3)
\]

So, the equation of the line in point-slope form is:

\[
y + 2 = x + 3
\]

Would you like more details on how this formula works or on the next steps?

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Here are five related questions:
1. How do you convert point-slope form to slope-intercept form?
2. How would you write the equation of a line with a different slope?
3. What happens if you change the point \((-3, -2)\) to a different point?
4. How do you find the slope of a line given two points?
5. Can you use point-slope form for vertical or horizontal lines?

**Tip:** In point-slope form, you can easily identify the slope and a specific point on the line, which helps when graphing.

Write the equation of the line in point-slope form given the point (-3, -2) and the slope of 1.

Learn how to write the equation of a line in point-slope form, given the point (-3, -2) and a slope of 1. This problem explores key algebraic concepts like linear equations and point-slope form, suitable for students in Grades 8-10.

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