Line slope calculator 6x-5y=-20


Enter coordinates of two different points:

Straight line given by points A[0; 4] and B[5; 10]

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
y = 6t+4      ; 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 = [2.5; 7]

Perpendicular Bisector equation: 5x+6y-54.5 = 0


Vector OA = (0; 4) ;   |OA| = 4
Vector OB = (5; 10) ;   |OB| = 11.1803
Scalar product OA .OB = 40
Angle ∠ AOB = 26°33'54″ = 0.4636 rad