write the equation in point-slope form of the line that passes through  the given point with the given slope: (-3, -5); m = -2

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.

Write the equation in point-slope form of the line that passes through the given point with the given slope: (-3, -5); m = -2

Learn how to write the equation of a line in point-slope form that passes through the point (-3, -5) with a slope of -2. This detailed solution covers key algebraic concepts, such as point-slope form and linear equations, suitable for students in Grades 8-10.

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