# Line slope calculator 8x-3y=2

**Straight line given by points A[1; 2] and B[4; 10]**

## Calculation:

**Slope-intercept form of line:**y = 2.6667x-0.6667

**Canonical form of the line equation:**8x-3y-2 = 0

**Parametric form of the line equation:**

x = 3t+1

y = 8t+2 ; t ∈ R

**Slope:**m = 2.6667

**Slope angle of line: φ =**69°26'38″ = 1.212 rad

**X intercept:**x

_{0}= 0.25

**Y intercept:**y

_{0}= q = -0.6667

**Distance line from the origin:**d

_{0}= 0.2341

**The length of the segment AB: |AB| =**8.544

**Vector: AB =**(3; 8)

**Normal vector: n =**(8; -3)

**Midpoint of the segment AB: M =**[2.5; 6]

**Perpendicular Bisector equation:**3x+8y-55.5 = 0

**Vector OA = (1; 2) ; |OA| = 2.2361**

**Vector OB = (4; 10) ; |OB| = 10.7703**

**Scalar product OA .OB = 24**

**Angle ∠ AOB = 4°45'49″ = 0.0831 rad**