# Line slope calculator 6x+2y=20

**Straight line given by points A[0; 10] and B[2; 4]**

## Calculation:

**Slope-intercept form of line:**y = -3x+10

**Canonical form of the line equation:**6x+2y-20 = 0

**Parametric form of the line equation:**

x = 2t

y = -6t+10 ; t ∈ R

**Slope:**m = -3

**Slope angle of line: φ =**-71°33'54″ = -1.249 rad

**X intercept:**x

_{0}= 3.3333

**Y intercept:**y

_{0}= q = 10

**Distance line from the origin:**d

_{0}= 3.1623

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

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

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

**Midpoint of the segment AB: M =**[1; 7]

**Perpendicular Bisector equation:**2x-6y+40 = 0

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

**Vector OB = (2; 4) ; |OB| = 4.4721**

**Scalar product OA .OB = 40**

**Angle ∠ AOB = 26°33'54″ = 0.4636 rad**