# What is the Slope of the Line that Passes Through (3, −7) and (−1, 1)?

# a) Undefined b) 0 c) -2 d) 2

We will be using the slope formula for a line that passes through two points to answer this.

## Answer: The Slope of the Line that Passes Through (3, −7) and (−1, 1) is -2.

Let's solve this step by step.

**Explanation:**

Given that, (x_{1}, y_{1}) = (3, −7) and (x_{2}, y_{2}) = (−1, 1)

The slope of the line that passes through (x_{1},y_{1}) and (x_{2},y_{2}) is given by:

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

Substitue (x_{1}, y_{1}) and (x_{2}, y_{2}) with their given values.

m = (1 - {-7})/(-1 - 3)

m = (1 + 7)/(-4)

m = 8/(-4)

m = -2