Line slope calculator 2x-3y=-3


Enter coordinates of two different points:

Straight line given by points A[0; 1] and B[3; 3]

Calculation:

Slope-intercept form of line: y = 0.6667x+1

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

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

Slope: m = 0.6667

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

X intercept: x0 = -1.5

Y intercept: y0 = q = 1

Distance line from the origin: d0 = 0.8321

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; 2]

Perpendicular Bisector equation: 3x+2y-8.5 = 0


Vector OA = (0; 1) ;   |OA| = 1
Vector OB = (3; 3) ;   |OB| = 4.2426
Scalar product OA .OB = 3
Angle ∠ AOB = 45° = 0.7854 rad