Line slope calculator 5x+6y=56


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -0.8333

Slope-intercept form of line: y = -0.8333x+9.3333

Canonical form of the line equation: 5x+6y-56 = 0

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

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

X intercept: x0 = 11.2

Y intercept: y0 = q = 9.3333

Distance line from the origin: d0 = 7.1701

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-24.5 = 0

Vector OA = (4; 6) ;   |OA| = 7.2111
Vector OB = (10; 1) ;   |OB| = 10.0499
Scalar product OA .OB = 46
Angle ∠ AOB = 50°35'58″ = 0.8831 rad