# What is the slope of the line passing through the points (−3, 4) and (4, −1)?

A slope indicates the change in gradient of the graph, which can be either positive or negative.

## Answer: The slope of the line passing through the points (−3, 4) and (4, −1) is -5 / 7.

Let's look into the steps below.

**Explanation:**

Given points: (-3, 4) and (4, -1)

The formula for slope = (y_{2} - y_{1}) / (x_{2} - x_{1}) , where (x_{1}, y_{1}) and (x_{2}, y_{2}) are the two points

Using the above formula, slope for the given points = (-1 - 4) / (4 - (-3))

Slope = -5 / 7

A negative slope indicates a downward slope or a decreasing graph.