Line slope calculator 5x-6y=2


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 3] and B[10; 8]

Calculation:

Slope: m = 0.8333

Slope-intercept form of line: y = 0.8333x-0.3333

Canonical form of the line equation: 5x-6y-2 = 0

Parametric form of the line equation:
x = 6t+4
y = 5t+3      ; t ∈ R

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

X intercept: x0 = 0.4

Y intercept: y0 = q = -0.3333

Distance line from the origin: d0 = 0.2561

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; 5.5]

Perpendicular Bisector equation: 6x+5y-69.5 = 0

Vector OA = (4; 3) ;   |OA| = 5
Vector OB = (10; 8) ;   |OB| = 12.8062
Scalar product OA .OB = 64
Angle ∠ AOB = 1°47'24″ = 0.0312 rad