# Line slope calculator 6x+5y=56

**Straight line given by points A[1; 10] and B[6; 4]**

## Calculation:

**Slope-intercept form of line:**y = -1.2x+11.2

**Canonical form of the line equation:**6x+5y-56 = 0

**Parametric form of the line equation:**

x = 5t+1

y = -6t+10 ; t ∈ R

**Slope:**m = -1.2

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

**X intercept:**x

_{0}= 9.3333

**Y intercept:**y

_{0}= q = 11.2

**Distance line from the origin:**d

_{0}= 7.1701

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

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

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

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

**Perpendicular Bisector equation:**5x-6y+24.5 = 0

**Vector OA = (1; 10) ; |OA| = 10.0499**

**Vector OB = (6; 4) ; |OB| = 7.2111**

**Scalar product OA .OB = 46**

**Angle ∠ AOB = 50°35'58″ = 0.8831 rad**