Line slope calculator 2x+3y=22


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 6] and B[5; 4]

Calculation:

Slope: m = -0.6667

Slope-intercept form of line: y = -0.6667x+7.3333

Canonical form of the line equation: 2x+3y-22 = 0

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

Slope angle of line: φ = -33°41'24″ = -0.588 rad

X intercept: x0 = 11

Y intercept: y0 = q = 7.3333

Distance line from the origin: d0 = 6.1017

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

Vector: AB = (3; -2)

Normal vector: n = (2; 3)

Midpoint of the segment AB: M = [3.5; 5]

Perpendicular Bisector equation: 3x-2y-0.5 = 0


Vector OA = (2; 6) ;   |OA| = 6.3246
Vector OB = (5; 4) ;   |OB| = 6.4031
Scalar product OA .OB = 34
Angle ∠ AOB = 32°54'19″ = 0.5743 rad