# Line slope calculator 5x-2y=28

**Straight line given by points A[6; 1] and B[8; 6]**

## Calculation:

**Slope-intercept form of line:**y = 2.5x-14

**Canonical form of the line equation:**5x-2y-28 = 0

**Parametric form of the line equation:**

x = 2t+6

y = 5t+1 ; t ∈ R

**Slope:**m = 2.5

**Slope angle of line: φ =**68°11'55″ = 1.1903 rad

**X intercept:**x

_{0}= 5.6

**Y intercept:**y

_{0}= q = -14

**Distance line from the origin:**d

_{0}= 5.1995

**The length of the segment AB: |AB| =**5.3852

**Vector: AB =**(2; 5)

**Normal vector: n =**(5; -2)

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

**Perpendicular Bisector equation:**2x+5y-31.5 = 0

**Vector OA = (6; 1) ; |OA| = 6.0828**

**Vector OB = (8; 6) ; |OB| = 10**

**Scalar product OA .OB = 54**

**Angle ∠ AOB = 27°24'27″ = 0.4784 rad**