Line slope calculator 5x-6y=-8


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 0.8333

Slope-intercept form of line: y = 0.8333x+1.3333

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

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

Slope angle of line: φ = 39°48'20″ = 0.6947 rad

X intercept: x0 = -1.6

Y intercept: y0 = q = 1.3333

Distance line from the origin: d0 = 1.0243

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

Vector: AB = (6; 5)

Normal vector: n = (5; -6)

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

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

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