The problem asks for the equation of a line in point-slope form, given a point $(3, 5)$ and a slope $m = -1$.

The point-slope form of a line is given by 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.

For this problem:

• $x_1 = 3$
• $y_1 = 5$
• $m = -1$

Substituting these values into the point-slope form:

$y - 5 = -1(x - 3)$

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

Would you like to go over the solution in more detail, or do you have any questions?

Here are 5 related questions to explore:

1. How can we convert this point-slope form into slope-intercept form?
2. What happens to the equation if the slope were positive?
3. How do we graph a line given its point-slope form?
4. Can we use this form to find the equation of a parallel line?
5. What is the general interpretation of point-slope form in geometry?

Tip: Point-slope form is particularly useful when you know a point on the line and the slope, as it avoids the need for additional calculations like intercepts.