# Line slope calculator 3x-2y=-1

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

## Calculation:

**Slope-intercept form of line:**y = 1.5x+0.5

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

**Parametric form of the line equation:**

x = 2t+1

y = 3t+2 ; t ∈ R

**Slope:**m = 1.5

**Slope angle of line: φ =**56°18'36″ = 0.9828 rad

**X intercept:**x

_{0}= -0.3333

**Y intercept:**y

_{0}= q = 0.5

**Distance line from the origin:**d

_{0}= 0.2774

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

**Vector: AB =**(2; 3)

**Normal vector: n =**(3; -2)

**Midpoint of the segment AB: M =**[2; 3.5]

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

**Vector OA = (1; 2) ; |OA| = 2.2361**

**Vector OB = (3; 5) ; |OB| = 5.831**

**Scalar product OA .OB = 13**

**Angle ∠ AOB = 4°23'55″ = 0.0768 rad**