Line slope calculator 6x-5y=8


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 2] and B[8; 8]

Calculation:

Slope: m = 1.2

Slope-intercept form of line: y = 1.2x-1.6

Canonical form of the line equation: 6x-5y-8 = 0

Parametric form of the line equation:
x = 5t+3
y = 6t+2      ; t ∈ R

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

X intercept: x0 = 1.3333

Y intercept: y0 = q = -1.6

Distance line from the origin: d0 = 1.0243

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

Vector: AB = (5; 6)

Normal vector: n = (6; -5)

Midpoint of the segment AB: M = [5.5; 5]

Perpendicular Bisector equation: 5x+6y-57.5 = 0

Vector OA = (3; 2) ;   |OA| = 3.6056
Vector OB = (8; 8) ;   |OB| = 11.3137
Scalar product OA .OB = 40
Angle ∠ AOB = 11°18'36″ = 0.1974 rad