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# Choose the correct slope of the line that passes through the points (1, −3) and (3, −5).

The slope of a line determines the inclination of the line with the positive x-axis.

## Answer: The slope(m) of the line that passes through the points (1, −3) and (3, −5) is m = -1.

Let us find the slope of a line when two points on the line are given.

**Explanation:**

The slope of the line passing through (x_{1}, y_{1}) and (x_{2}, y_{2}) is given by m = (y_{2 }- y_{1}) / (x_{2 }- x_{1})

Here, (x_{1}, y_{1}) = (1, −3) and (x_{2}, y_{2}) = (3, −5)

m = (y_{2 }- y_{1}) / (x_{2 }- x_{1})

m = [-5 - (-3)] / [3 - 1]

m = [-5 + 3] / [2]

m = [-2] / 2

m = -1

**Slope = m = -1**

### Thus, the slope of the line that passes through the points (1, −3) and (3, −5) is -1.

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