Line slope calculator 6x+5y=58


Enter coordinates of two different points:

Straight line given by points A[3; 8] and B[8; 2]

Calculation:

Slope-intercept form of line: y = -1.2x+11.6

Canonical form of the line equation: 6x+5y-58 = 0

Parametric form of the line equation:
x = 5t+3
y = -6t+8      ; t ∈ R

Slope: m = -1.2

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

X intercept: x0 = 9.6667

Y intercept: y0 = q = 11.6

Distance line from the origin: d0 = 7.4261

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; 5]

Perpendicular Bisector equation: 5x-6y+2.5 = 0


Vector OA = (3; 8) ;   |OA| = 8.544
Vector OB = (8; 2) ;   |OB| = 8.2462
Scalar product OA .OB = 40
Angle ∠ AOB = 55°24'28″ = 0.967 rad