Find the slope of the line through the given points, (6,5) and (8,1).
To find the slope of a line passing through two points, you can use the formula:
slope (m) = (y₂ - y₁) / (x₂ - x₁)
Given the points (6,5) and (8,1), we can assign the following values to the variables:
x₁ = 6, y₁ = 5
x₂ = 8, y₂ = 1
Now, substitute these values into the formula:
slope (m) = (1 - 5) / (8 - 6)
Calculate the numerator and denominator:
slope (m) = -4 / 2
Finally, simplify the fraction:
slope (m) = -2
Therefore, the slope of the line passing through the given points (6,5) and (8,1) is -2.