Use the point-slope form to write an equation of the line with the given slope and point. See Example 1.

*m* = 5,  passes through (8, 1)

*y* - 1 = 5(*x* + 8)

*y* + 8 = 5(*x* - 1)

*y* + 1 = 5(*x* - 8)

*y* - 8 = 5(*x* - 1)

*y* - 1 = 5(*x* - 8)


To find the equation of a line using the point-slope form, we use the formula:

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

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

Given:
- \( m = 5 \)
- The point is \( (8, 1) \).

Substitute these values into the point-slope form:

\[
y - 1 = 5(x - 8)
\]

So, the correct answer is:

**\( y - 1 = 5(x - 8) \).**

### Final Answer:
- **\( y - 1 = 5(x - 8) \)**

Would you like to see more details or have any questions?

Here are 5 related questions:
1. How do you convert the point-slope form to the slope-intercept form?
2. What is the equation of a line with a slope of -3 passing through the point (2, 5)?
3. How do you find the slope between two points?
4. How can you check if a point lies on a given line?
5. What is the significance of the slope in the equation of a line?

**Tip:** Always double-check the coordinates and slope when substituting them into the point-slope form to avoid errors!

Use the point-slope form to write an equation of the line with the given slope and point. m = 5, passes through (8, 1).

Learn how to use the point-slope form to write the equation of a line with a slope of 5 passing through the point (8, 1). This problem covers key algebraic concepts such as point-slope form and linear equations. Suitable for students in Grades 8-10.

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