Sure, let's calculate the slope of the line passing through the points (2, 3) and (1, -3).
Recall that the formula for the slope of a line passing through two points, (x1, y1) and (x2, y2), is given by (y2 - y1) / (x2 - x1).
Step 1: Identify the coordinates of the two given points.
The coordinates of the first point (x1, y1) are 2 and 3, respectively.
The coordinates of the second point (x2, y2) are 1 and -3, respectively.
Step 2: Apply the slope formula.
Insert the coordinates of the two points into the slope formula.
The slope between the two points is (y2 - y1) / (x2 - x1), which becomes:
= (-3 - 3) / (1 - 2)
Step 3: Perform the operations.
First, calculate the difference in the y-coordinates, which is -3 - 3 = -6.
Next, calculate the difference in the x-coordinates, which is 1 - 2 = -1.
Step 4: Divide the differences.
Finally, divide the difference in y-coordinates by the difference in x-coordinates, -6 / -1 = 6.
So, the slope of the line passing through the points (2, 3) and (1, -3) is 6.