What is the slope of the line that passes through the points (-2, 5) and (1, 4)?

Solution:

The slope is an important concept that is related to geometry. It can be calculated by finding the first derivative of the function at a particular point on the curve.

We have slope of line joining two points (x₁, y₁) and (x₂, y₂) as m = (y₂ - y₁)/(x₂ - x₁).

Given (x₁, y₁) = (-2, 5)

(x₂, y₂) = (1, 4)

Slope m = (y₂ - y₁)/(x₂ - x₁)

m = (4 - 5)/ (1 - (-2))

m = -1/3

Therefore, the slope of the line is m = -1/3.

What is the slope of the line that passes through the points (-2, 5) and (1, 4)?

Summary:

The slope of the line passing through the points (-2, 5) and (1, 4) is m = -1/3.