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

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

where:
- \(m\) is the slope,
- \((x_1, y_1)\) is the point on the line.

From the problem:
- The slope \(m = -\frac{5}{4}\),
- The point \((x_1, y_1) = (8, -1)\).

Substitute these values into the formula:

\[
y - (-1) = -\frac{5}{4}(x - 8)
\]

Simplify:

\[
y + 1 = -\frac{5}{4}(x - 8)
\]

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

Would you like a detailed explanation of any step? 

Here are 5 related questions:
1. How do you convert point-slope form to slope-intercept form?
2. What is the general form of a linear equation?
3. How would the equation change if the point was \((8, 2)\) instead of \((8, -1)\)?
4. What is the significance of the slope being negative?
5. How would you find the equation if you were given two points instead of a slope and one point?

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

A line passes through the point (8, -1) and has a slope of -5/4. Write an equation in point-slope form for this line.

Learn how to write the equation of a line in point-slope form when given a point (8, -1) and a slope of -5/4. This detailed solution shows step-by-step how to apply the point-slope formula, a core algebraic concept for students in Grades 9-11.

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