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

The slope of any line is the inclination of the given line with respect to the x-axis. They are used to extract important information from lines.

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

Let's understand the solution in detail.

Explanation:

We can find the slope of the line by using the slope formula, that is, slope = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are points given.

Here, (x₁, y₁) = (1, −3) and (x₂, y₂) = (3, −5).

Therefore, substituting the values, we get slope = (-5 - (-3)) / (3 - 1) = -2/2 = -1.

You can use the slope calculator to verify your answer.

We can also find the slope by finding the equation of the line using the given points, and then finding the first derivative (dy/dx) of the equation.

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