To write the equation of a line in point-slope form, you can use the formula:

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

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

Given:

• Point: $(5, 4)$
• Slope: $m = 3$

Substituting these values into the formula:

$y - 4 = 3(x - 5)$

So, the equation of the line in point-slope form is:

$\boxed{y - 4 = 3(x - 5)}$

Would you like a detailed explanation or have any other questions? Here are some related questions you might find helpful:

1. How do you convert a point-slope form equation to slope-intercept form?
2. What is the general process for finding the slope of a line given two points?
3. How can you graph a line using the point-slope form?
4. What are other forms of linear equations besides point-slope form?
5. How do you determine if a point lies on a given line?

Tip: The point-slope form is very useful when you know a point on the line and the slope, making it quick to write an equation without converting to other forms immediately!