Line slope calculator 6x-5y=20


Enter coordinates of two different points:

Straight line given by points A[5; 2] and B[10; 8]

Calculation:

Slope-intercept form of line: y = 1.2x-4

Canonical form of the line equation: 6x-5y-20 = 0

Parametric form of the line equation:
x = 5t+5
y = 6t+2      ; t ∈ R

Slope: m = 1.2

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

X intercept: x0 = 3.3333

Y intercept: y0 = q = -4

Distance line from the origin: d0 = 2.5607

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

Vector: AB = (5; 6)

Normal vector: n = (6; -5)

Midpoint of the segment AB: M = [7.5; 5]

Perpendicular Bisector equation: 5x+6y-67.5 = 0


Vector OA = (5; 2) ;   |OA| = 5.3852
Vector OB = (10; 8) ;   |OB| = 12.8062
Scalar product OA .OB = 66
Angle ∠ AOB = 16°51'30″ = 0.2942 rad