# Line slope calculator 3x-2y=14

**Straight line given by points A[6; 2] and B[8; 5]**

## Calculation:

**Slope-intercept form of line:**y = 1.5x-7

**Canonical form of the line equation:**3x-2y-14 = 0

**Parametric form of the line equation:**

x = 2t+6

y = 3t+2 ; t ∈ R

**Slope:**m = 1.5

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

**X intercept:**x

_{0}= 4.6667

**Y intercept:**y

_{0}= q = -7

**Distance line from the origin:**d

_{0}= 3.8829

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

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

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

**Midpoint of the segment AB: M =**[7; 3.5]

**Perpendicular Bisector equation:**2x+3y-24.5 = 0

**Vector OA = (6; 2) ; |OA| = 6.3246**

**Vector OB = (8; 5) ; |OB| = 9.434**

**Scalar product OA .OB = 58**

**Angle ∠ AOB = 13°34'14″ = 0.2368 rad**