# Line slope calculator 2x-3y=8

**Straight line given by points A[4; 0] and B[7; 2]**

## Calculation:

**Slope-intercept form of line:**y = 0.6667x-2.6667

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

**Parametric form of the line equation:**

x = 3t+4

y = 2t ; t ∈ R

**Slope:**m = 0.6667

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

**X intercept:**x

_{0}= 4

**Y intercept:**y

_{0}= q = -2.6667

**Distance line from the origin:**d

_{0}= 2.2188

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

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

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

**Midpoint of the segment AB: M =**[5.5; 1]

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

**Vector OA = (4; 0) ; |OA| = 4**

**Vector OB = (7; 2) ; |OB| = 7.2801**

**Scalar product OA .OB = 28**

**Angle ∠ AOB = 15°56'43″ = 0.2783 rad**