Slope of a line :
The Slope of a straight line is defined as that it is described direction and as well as steepness of a line.
The Slope of a line can be defined as that it is changing rate of y with respect to x in x-y plane.
Notation : Generally slope is denoted by m or tanθ .
Slope = m = tanθ .
here θ is an angle between the line and positive direction of x-axis.
Different cases are arise :
- slope of a line joining with two points:
Let points A(x₁,y₁) and B(x₂,y₂) be the two points .
Slope of a line = m = tanθ
- tanθ ( 0< θ ≤ 𝜋 ) and θ ≠ 𝜋/2
2. Slope of a line :
For X-axis –
m = 0
For Y-axis –
m = undefined
To check collinearity :
Let points P ,Q & R are collinear if and only if
Slope of PQ = Slope of QR = Slope of PR.
The slope of a line is a sense of independent.
Slope of PQ = Slope of QP
tanθ = tan( 𝜋 + θ )
To check parallel :
m₁ = m₂
To check perpendicular :