What is the slope of the line that passes through the point (1,7), (10,1) ?

Slope is the change in y-values divided by the change in x-values. You can use the following formula to calculate slope:

y₁ - y₂ / x₁ - x₂

The coordinates: (1, 7) and (10, 1)

y₁ = 7
y₂ = 1
x₁ = 1
x₂ = 10

    7 - 1 / 1 - 10
         6 / -9
        -2 / 3

The slope of the line that passes through the points (1, 7) and (10, 1) is -2/3.