Line slope calculator 5x+6y=46


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 6] and B[8; 1]

Calculation:

Slope: m = -0.8333

Slope-intercept form of line: y = -0.8333x+7.6667

Canonical form of the line equation: 5x+6y-46 = 0

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

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

X intercept: x0 = 9.2

Y intercept: y0 = q = 7.6667

Distance line from the origin: d0 = 5.8897

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; 3.5]

Perpendicular Bisector equation: 6x-5y-12.5 = 0

Vector OA = (2; 6) ;   |OA| = 6.3246
Vector OB = (8; 1) ;   |OB| = 8.0623
Scalar product OA .OB = 22
Angle ∠ AOB = 64°26'24″ = 1.1247 rad