Line slope calculator 2x+6y=68


Enter coordinates of two different points:

Straight line given by points A[4; 10] and B[10; 8]

Calculation:

Slope-intercept form of line: y = -0.3333x+11.3333

Canonical form of the line equation: 2x+6y-68 = 0

Parametric form of the line equation:
x = 6t+4
y = -2t+10      ; t ∈ R

Slope: m = -0.3333

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

X intercept: x0 = 34

Y intercept: y0 = q = 11.3333

Distance line from the origin: d0 = 10.7517

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

Vector: AB = (6; -2)

Normal vector: n = (2; 6)

Midpoint of the segment AB: M = [7; 9]

Perpendicular Bisector equation: 6x-2y-24 = 0


Vector OA = (4; 10) ;   |OA| = 10.7703
Vector OB = (10; 8) ;   |OB| = 12.8062
Scalar product OA .OB = 120
Angle ∠ AOB = 29°32'20″ = 0.5155 rad