Line slope calculator 6x-5y=30


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 0] and B[10; 6]

Calculation:

Slope: m = 1.2

Slope-intercept form of line: y = 1.2x-6

Canonical form of the line equation: 6x-5y-30 = 0

Parametric form of the line equation:
x = 5t+5
y = 6t      ; t ∈ R

Slope angle of line: φ = 50°11'40″ = 0.8761 rad

X intercept: x0 = 5

Y intercept: y0 = q = -6

Distance line from the origin: d0 = 3.8411

The length of the segment AB: |AB| = 7.8102

Vector: AB = (5; 6)

Normal vector: n = (6; -5)

Midpoint of the segment AB: M = [7.5; 3]

Perpendicular Bisector equation: 5x+6y-55.5 = 0

Vector OA = (5; 0) ;   |OA| = 5
Vector OB = (10; 6) ;   |OB| = 11.6619
Scalar product OA .OB = 50
Angle ∠ AOB = 30°57'50″ = 0.5404 rad