Line slope calculator 5x-6y=14


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 1] and B[10; 6]

Calculation:

Slope: m = 0.8333

Slope-intercept form of line: y = 0.8333x-2.3333

Canonical form of the line equation: 5x-6y-14 = 0

Parametric form of the line equation:
x = 6t+4
y = 5t+1      ; t ∈ R

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

X intercept: x0 = 2.8

Y intercept: y0 = q = -2.3333

Distance line from the origin: d0 = 1.7925

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

Vector: AB = (6; 5)

Normal vector: n = (5; -6)

Midpoint of the segment AB: M = [7; 3.5]

Perpendicular Bisector equation: 6x+5y-59.5 = 0

Vector OA = (4; 1) ;   |OA| = 4.1231
Vector OB = (10; 6) ;   |OB| = 11.6619
Scalar product OA .OB = 46
Angle ∠ AOB = 16°55'39″ = 0.2954 rad