# Line slope calculator 3x-8y=-2

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

## Calculation:

**Slope-intercept form of line:**y = 0.375x+0.25

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

**Parametric form of the line equation:**

x = 8t+2

y = 3t+1 ; t ∈ R

**Slope:**m = 0.375

**Slope angle of line: φ =**20°33'22″ = 0.3588 rad

**X intercept:**x

_{0}= -0.6667

**Y intercept:**y

_{0}= q = 0.25

**Distance line from the origin:**d

_{0}= 0.2341

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

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

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

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

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

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

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

**Scalar product OA .OB = 24**

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