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The problem asks for the point-slope equation of a line with a slope of \( -\frac{8}{7} \) passing through the point \( (4, 4) \).

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.

Given:
- Slope \( m = -\frac{8}{7} \),
- Point \( (x_1, y_1) = (4, 4) \).

Substitute these values into the point-slope formula:

\[
y - 4 = -\frac{8}{7}(x - 4)
\]

This is the point-slope equation of the line. 

Would you like further details or have any questions? 

Here are some related questions:
1. How do you convert a point-slope equation to slope-intercept form?
2. What is the general form of a linear equation?
3. How can you find the equation of a line given two points?
4. How do you interpret the slope of a line in real-world contexts?
5. What is the significance of the y-intercept in a line equation?

**Tip:** The point-slope form is especially useful when you know one point on the line and the slope but not the y-intercept!

The slope of the line below is -8/7. Write a point-slope equation of the line using the coordinates of the labeled point.

This page explains how to find the point-slope equation of a line with a slope of -8/7 passing through the point (4, 4). The solution walks through the process using the point-slope formula and explains key algebraic concepts. Ideal for students in Grades 8-10.

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