Increments :
Increments Definition: If a particle moves from the point (x 1, y 1) to the point (x 2, y 2), the increments in its coordinates are: ∆x = x 2 - x 1 and ∆y = y 2 - y 1.
Example:
What are the coordinate increments from (4, -3) to (2, 5)?
∆x = 2 – 4 = -2 and ∆y = 5 – (-3) = 8
Slope of a Line :
Slope of a Line Definition: slope = rise/run or m = ∆y/ ∆x
Example:
Find the slope of the line with the points (2, -5) and (3, 2).
m = ∆y/ ∆x = (-5 – 2)/ (2 – 3) = -7/-1 = 7