Line slope calculator 6x-5y=18


Enter coordinates of two different points:

Straight line given by points A[3; 0] and B[8; 6]

Calculation:

Slope-intercept form of line: y = 1.2x-3.6

Canonical form of the line equation: 6x-5y-18 = 0

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

Slope: m = 1.2

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

X intercept: x0 = 3

Y intercept: y0 = q = -3.6

Distance line from the origin: d0 = 2.3047

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; 3]

Perpendicular Bisector equation: 5x+6y-45.5 = 0


Vector OA = (3; 0) ;   |OA| = 3
Vector OB = (8; 6) ;   |OB| = 10
Scalar product OA .OB = 24
Angle ∠ AOB = 36°52'12″ = 0.6435 rad