# Line slope calculator 3x-2y=8

**Straight line given by points A[4; 2] and B[6; 5]**

## Calculation:

**Slope-intercept form of line:**y = 1.5x-4

**Canonical form of the line equation:**3x-2y-8 = 0

**Parametric form of the line equation:**

x = 2t+4

y = 3t+2 ; t ∈ R

**Slope:**m = 1.5

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

**X intercept:**x

_{0}= 2.6667

**Y intercept:**y

_{0}= q = -4

**Distance line from the origin:**d

_{0}= 2.2188

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

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

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

**Midpoint of the segment AB: M =**[5; 3.5]

**Perpendicular Bisector equation:**2x+3y-20.5 = 0

**Vector OA = (4; 2) ; |OA| = 4.4721**

**Vector OB = (6; 5) ; |OB| = 7.8102**

**Scalar product OA .OB = 34**

**Angle ∠ AOB = 13°14'26″ = 0.2311 rad**