# Line slope calculator 2x+6y=56

**Straight line given by points A[4; 8] and B[10; 6]**

## Calculation:

**Slope-intercept form of line:**y = -0.3333x+9.3333

**Canonical form of the line equation:**2x+6y-56 = 0

**Parametric form of the line equation:**

x = 6t+4

y = -2t+8 ; t ∈ R

**Slope:**m = -0.3333

**Slope angle of line: φ =**-18°26'6″ = -0.3218 rad

**X intercept:**x

_{0}= 28

**Y intercept:**y

_{0}= q = 9.3333

**Distance line from the origin:**d

_{0}= 8.8544

**The length of the segment AB: |AB| =**6.3246

**Vector: AB =**(6; -2)

**Normal vector: n =**(2; 6)

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

**Perpendicular Bisector equation:**6x-2y-28 = 0

**Vector OA = (4; 8) ; |OA| = 8.9443**

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

**Scalar product OA .OB = 88**

**Angle ∠ AOB = 32°28'16″ = 0.5667 rad**