Line slope calculator 6x+5y=56


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -1.2

Slope-intercept form of line: y = -1.2x+11.2

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

Parametric form of the line equation:
x = 5t+1
y = -6t+10      ; t ∈ R

Slope angle of line: φ = -50°11'40″ = -0.8761 rad

X intercept: x0 = 9.3333

Y intercept: y0 = q = 11.2

Distance line from the origin: d0 = 7.1701

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

Vector: AB = (5; -6)

Normal vector: n = (6; 5)

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

Perpendicular Bisector equation: 5x-6y+24.5 = 0

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