How do you write the equation of a line that passes through the points (1, 3) and (2, 2)?

To write the equation of a line that passes through two points, you can use the two-point form of a line equation. The basic steps are as follows:

1. Identify the points: In this case, the points are (1, 3) and (2, 2).
2. Calculate the slope (m): The slope formula is
   m = (y_2 - y_1) / (x_2 - x_1). Substituting the values from the points:
   m = (2 - 3) / (2 - 1) = -1.
3. Use the point-slope form of the equation: The point-slope form is given by y - y_1 = m(x - x_1). You can use either point for this calculation. Using the point (1, 3):
   y - 3 = -1(x - 1).
4. Simplify the equation: Distributing the slope and rearranging gives:
   y - 3 = -x + 1
y = -x + 4.

Thus, the equation of the line that passes through the points (1, 3) and (2, 2) is y = -x + 4.