find the slope of the line that passes through (10,-8) and (1,12)

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

slope = (y₂ - y₁)/(x₂ - x₁)

Using the given points (10, -8) and (1, 12):

slope = (12 - (-8))/(1 - 10)
= 20/(-9)
= -20/9

Therefore, the slope of the line that passes through (10, -8) and (1, 12) is -20/9.