Gradient Of A Line

Gradient of a line: The ratio of rise to the run is called gradient of a line or known as slope or gradiant of the inclined path and is denoted

m = rise / run

m = y / x = tan α

where y mean ⇑ up

and

x = run in path

where α ( alpha) is the inclination of the inclined path with positive x – axis

Gradient of a straight line joining two point

Slope line L with inclination α passes through two point

P ( x₁ , y₁ ) and Q ( x ₂ , y ₂) then the slope m of the line L is given by

m=y₂ – y ₁ / x ₂ – x₁ = tan α