# Line slope calculator 3x-2y=18

**Straight line given by points A[6; 0] and B[8; 3]**

## Calculation:

**Slope-intercept form of line:**y = 1.5x-9

**Canonical form of the line equation:**3x-2y-18 = 0

**Parametric form of the line equation:**

x = 2t+6

y = 3t ; t ∈ R

**Slope:**m = 1.5

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

**X intercept:**x

_{0}= 6

**Y intercept:**y

_{0}= q = -9

**Distance line from the origin:**d

_{0}= 4.9923

**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; 1.5]

**Perpendicular Bisector equation:**2x+3y-18.5 = 0

**Vector OA = (6; 0) ; |OA| = 6**

**Vector OB = (8; 3) ; |OB| = 8.544**

**Scalar product OA .OB = 48**

**Angle ∠ AOB = 20°33'22″ = 0.3588 rad**