Line slope calculator 2x-3y=9


Enter coordinates of two different points:

Straight line given by points A[6; 1] and B[9; 3]

Calculation:

Slope-intercept form of line: y = 0.6667x-3

Canonical form of the line equation: 2x-3y-9 = 0

Parametric form of the line equation:
x = 3t+6
y = 2t+1      ; t ∈ R

Slope: m = 0.6667

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

X intercept: x0 = 4.5

Y intercept: y0 = q = -3

Distance line from the origin: d0 = 2.4962

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

Vector: AB = (3; 2)

Normal vector: n = (2; -3)

Midpoint of the segment AB: M = [7.5; 2]

Perpendicular Bisector equation: 3x+2y-26.5 = 0


Vector OA = (6; 1) ;   |OA| = 6.0828
Vector OB = (9; 3) ;   |OB| = 9.4868
Scalar product OA .OB = 57
Angle ∠ AOB = 8°58'21″ = 0.1566 rad