What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?

Solution:

The slope of the line passing through two points (x₁,y₁) and (x₂,y₂) is given by

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Now, the slope of the line passing through the points (5,80) and (7,65) is given by

m = (65 - 80) / (7 - 5)

m = (-15) / 2 or -7.5

Therefore, the slope of the line is -15 / 2 or -7.5

Example: What is the slope of a trend line that passes through the points (4, 5) and (7, 6)?

Solution:

The slope of the line passing through two points (x₁,y₁) and (x₂,y₂) is given by

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Now, the slope of the line passing through the points (4,5) and (7,6) is given by

m = (6 - 5) / (7 - 4)

m = 1/3 

Therefore, the slope of the line is 1/3

What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?

Summary:

The slope of a trend line that passes through the points (5, 80) and (7, 65) is -15 / 2 or -7.5