# Using the given points and line, determine the slope of the line. (1, 2) and (2, 1)

**Solution:**

The slope of the line passing through two points (x_{1},y_{1}) and (x_{2},y_{2}) is given by

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Now, the slope of the line passing through the points (1,2) and (2,1) is given by

m = (1 - 2) / (2 - 1)

m = (-1) / 1

m = -1

Therefore, the slope of the line is -1.

Example: ** Using the given points and line, determine the slope of the line. (3, 2) and (2, 3)**

**Solution:**

The slope of the line passing through two points (x_{1},y_{1}) and (x_{2},y_{2}) is given by

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Now, the slope of the line passing through the points (3,2) and (2,3) is given by

m = (3 - 2) / (2 - 3)

m = 1 / (-1)

m = -1

Therefore, the slope of the line is -1.

## Using the given points and line, determine the slope of the line. (1, 2) and (2, 1)

**Summary:**

The slope of a line that passes through the points (1,2) and (2,1) is -1.

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