Line slope calculator 5x-6y=4


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 0.8333

Slope-intercept form of line: y = 0.8333x-0.6667

Canonical form of the line equation: 5x-6y-4 = 0

Parametric form of the line equation:
x = 6t+2
y = 5t+1      ; t ∈ R

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

X intercept: x0 = 0.8

Y intercept: y0 = q = -0.6667

Distance line from the origin: d0 = 0.5121

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-47.5 = 0

Vector OA = (2; 1) ;   |OA| = 2.2361
Vector OB = (8; 6) ;   |OB| = 10
Scalar product OA .OB = 22
Angle ∠ AOB = 10°18'17″ = 0.1799 rad