# Line slope calculator 2x-3y=-14

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

## Calculation:

**Slope-intercept form of line:**y = 0.6667x+4.6667

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

**Parametric form of the line equation:**

x = 3t+2

y = 2t+6 ; t ∈ R

**Slope:**m = 0.6667

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

**X intercept:**x

_{0}= -7

**Y intercept:**y

_{0}= q = 4.6667

**Distance line from the origin:**d

_{0}= 3.8829

**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; 7]

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

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

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

**Scalar product OA .OB = 58**

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