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?

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.