Line slope calculator 3x-2y=18


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = 1.5x-9

Canonical form of the line equation: 3x-2y-18 = 0

Parametric form of the line equation:
x = 2t+6
y = 3t      ; t ∈ R

Slope: m = 1.5

Slope angle of line: φ = 56°18'36″ = 0.9828 rad

X intercept: x0 = 6

Y intercept: y0 = q = -9

Distance line from the origin: d0 = 4.9923

The length of the segment AB: |AB| = 3.6056

Vector: AB = (2; 3)

Normal vector: n = (3; -2)

Midpoint of the segment AB: M = [7; 1.5]

Perpendicular Bisector equation: 2x+3y-18.5 = 0


Vector OA = (6; 0) ;   |OA| = 6
Vector OB = (8; 3) ;   |OB| = 8.544
Scalar product OA .OB = 48
Angle ∠ AOB = 20°33'22″ = 0.3588 rad