# Line slope calculator 2x-3y=1

**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:**x

_{0}= 0.5

**Y intercept:**y

_{0}= q = -0.3333

**Distance line from the origin:**d

_{0}= 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**