What is the slope of the line that passes through the given points (2, 12) and (6, 11)?

Solution:

Given two points (2, 12), (6, 11)

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x.

We know that the slope of line using two points is given by

m= y₂ - y₁ /x₂ - x₁

Here, x₁ = 2, y₁ = 12, x₂ = 6, y₂ = 11

Slope m = 11 - 12 / 6 - 2

m = -1/4

Therefore, the slope is -1/4.

What is the slope of the line that passes through the given points (2, 12) and (6, 11)?

Summary:

The slope of the line that passes through the given points (2, 12) and (6, 11) is -1/4.