Line slope calculator 2x+3y=6


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 2] and B[3; 0]

Calculation:

Slope: m = -0.6667

Slope-intercept form of line: y = -0.6667x+2

Canonical form of the line equation: 2x+3y-6 = 0

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

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

X intercept: x0 = 3

Y intercept: y0 = q = 2

Distance line from the origin: d0 = 1.6641

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

Vector: AB = (3; -2)

Normal vector: n = (2; 3)

Midpoint of the segment AB: M = [1.5; 1]

Perpendicular Bisector equation: 3x-2y-2.5 = 0


Vector OA = (0; 2) ;   |OA| = 2
Vector OB = (3; 0) ;   |OB| = 3
Scalar product OA .OB = 0
Angle ∠ AOB = 90° = 1.5708 rad