# Line slope calculator 2x+6y=60

**Straight line given by points A[0; 10] and B[6; 8]**

## Calculation:

**Slope-intercept form of line:**y = -0.3333x+10

**Canonical form of the line equation:**2x+6y-60 = 0

**Parametric form of the line equation:**

x = 6t

y = -2t+10 ; t ∈ R

**Slope:**m = -0.3333

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

**X intercept:**x

_{0}= 30

**Y intercept:**y

_{0}= q = 10

**Distance line from the origin:**d

_{0}= 9.4868

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

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

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

**Midpoint of the segment AB: M =**[3; 9]

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

**Vector OA = (0; 10) ; |OA| = 10**

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

**Scalar product OA .OB = 80**

**Angle ∠ AOB = 36°52'12″ = 0.6435 rad**