Question

A line passes through the points (1, 2) and (3, 1). What is the slope of the line?

A) 0-2
B) 0.2
C) 0 / 4
D) 0-1

Answer 1

The slope of the line passing through the points (1, 2) and (3, 1) is -0.5. This is found by calculating the rise over run between the two points, yielding the result of -1 divided by 2.

Step-by-step explanation:

To find the slope of the line passing through the points (1, 2) and (3, 1), we use the formula for slope, which is (change in y)/(change in x). The slope is calculated as follows:

1. Subtract the y-coordinate of the second point from the y-coordinate of the first point to find the change in y (rise), which is 1 - 2 = -1.
2. Subtract the x-coordinate of the second point from the x-coordinate of the first point to find the change in x (run), which is 3 - 1 = 2.
3. Divide the change in y by the change in x to get the slope: (-1) / 2 = -0.5.

Therefore, the slope of the line is -0.5, which corresponds to option D) 0-1, if we assume '0-' is a typographical error and should read as '-0'.