Line slope calculator 2x+6y=64


Enter coordinates of two different points:

Straight line given by points A[2; 10] and B[8; 8]

Calculation:

Slope-intercept form of line: y = -0.3333x+10.6667

Canonical form of the line equation: 2x+6y-64 = 0

Parametric form of the line equation:
x = 6t+2
y = -2t+10      ; t ∈ R

Slope: m = -0.3333

Slope angle of line: φ = -18°26'6″ = -0.3218 rad

X intercept: x0 = 32

Y intercept: y0 = q = 10.6667

Distance line from the origin: d0 = 10.1193

The length of the segment AB: |AB| = 6.3246

Vector: AB = (6; -2)

Normal vector: n = (2; 6)

Midpoint of the segment AB: M = [5; 9]

Perpendicular Bisector equation: 6x-2y-12 = 0


Vector OA = (2; 10) ;   |OA| = 10.198
Vector OB = (8; 8) ;   |OB| = 11.3137
Scalar product OA .OB = 96
Angle ∠ AOB = 33°41'24″ = 0.588 rad