Line slope calculator 6x+5y=60


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -1.2

Slope-intercept form of line: y = -1.2x+12

Canonical form of the line equation: 6x+5y-60 = 0

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

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

X intercept: x0 = 10

Y intercept: y0 = q = 12

Distance line from the origin: d0 = 7.6822

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-19.5 = 0

Vector OA = (5; 6) ;   |OA| = 7.8102
Vector OB = (10; 0) ;   |OB| = 10
Scalar product OA .OB = 50
Angle ∠ AOB = 50°11'40″ = 0.8761 rad