Line slope calculator 2x-3y=1


Enter coordinates of two different points:

Straight line given by points A[2; 1] and B[5; 3]

Calculation:

Slope-intercept form of line: y = 0.6667x-0.3333

Canonical form of the line equation: 2x-3y-1 = 0

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

Slope: m = 0.6667

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

X intercept: x0 = 0.5

Y intercept: y0 = q = -0.3333

Distance line from the origin: d0 = 0.2774

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; 2]

Perpendicular Bisector equation: 3x+2y-14.5 = 0


Vector OA = (2; 1) ;   |OA| = 2.2361
Vector OB = (5; 3) ;   |OB| = 5.831
Scalar product OA .OB = 13
Angle ∠ AOB = 4°23'55″ = 0.0768 rad