The point-slope form of a linear equation is:

$y - y_1 = m(x - x_1)$

Where:

• $(x_1, y_1)$ is a point on the line.
• $m$ is the slope.

In this case, the point is $(-3, -5)$ and the slope $m = -2$.

Substituting these values into the formula:

$y - (-5) = -2(x - (-3))$

Simplifying:

$y + 5 = -2(x + 3)$

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

Would you like more details or have any questions?

Here are 5 related questions to expand this topic:

1. How do you convert point-slope form to slope-intercept form?
2. Can you write the equation of a line in standard form using point-slope form?
3. What is the geometric interpretation of the slope in a line?
4. How do you find the slope of a line given two points?
5. What does a negative slope indicate about the direction of a line?

Tip: Point-slope form is particularly useful when you know the slope and a point on the line.