Line slope calculator 6x+5y=68


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -1.2

Slope-intercept form of line: y = -1.2x+13.6

Canonical form of the line equation: 6x+5y-68 = 0

Parametric form of the line equation:
x = 5t+3
y = -6t+10      ; t ∈ R

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

X intercept: x0 = 11.3333

Y intercept: y0 = q = 13.6

Distance line from the origin: d0 = 8.7065

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

Vector: AB = (5; -6)

Normal vector: n = (6; 5)

Midpoint of the segment AB: M = [5.5; 7]

Perpendicular Bisector equation: 5x-6y+14.5 = 0

Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (8; 4) ;   |OB| = 8.9443
Scalar product OA .OB = 64
Angle ∠ AOB = 46°44'9″ = 0.8157 rad