# Line slope calculator 6x-5y=30

**Straight line given by points A[5; 0] and B[10; 6]**

## Calculation:

**Slope-intercept form of line:**y = 1.2x-6

**Canonical form of the line equation:**6x-5y-30 = 0

**Parametric form of the line equation:**

x = 5t+5

y = 6t ; t ∈ R

**Slope:**m = 1.2

**Slope angle of line: φ =**50°11'40″ = 0.8761 rad

**X intercept:**x

_{0}= 5

**Y intercept:**y

_{0}= q = -6

**Distance line from the origin:**d

_{0}= 3.8411

**The length of the segment AB: |AB| =**7.8102

**Vector: AB =**(5; 6)

**Normal vector: n =**(6; -5)

**Midpoint of the segment AB: M =**[7.5; 3]

**Perpendicular Bisector equation:**5x+6y-55.5 = 0

**Vector OA = (5; 0) ; |OA| = 5**

**Vector OB = (10; 6) ; |OB| = 11.6619**

**Scalar product OA .OB = 50**

**Angle ∠ AOB = 30°57'50″ = 0.5404 rad**