# Line slope calculator 3x+8y=46

**Straight line given by points A[2; 5] and B[10; 2]**

## Calculation:

**Slope-intercept form of line:**y = -0.375x+5.75

**Canonical form of the line equation:**3x+8y-46 = 0

**Parametric form of the line equation:**

x = 8t+2

y = -3t+5 ; t ∈ R

**Slope:**m = -0.375

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

**X intercept:**x

_{0}= 15.3333

**Y intercept:**y

_{0}= q = 5.75

**Distance line from the origin:**d

_{0}= 5.3839

**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; 3.5]

**Perpendicular Bisector equation:**8x-3y-37.5 = 0

**Vector OA = (2; 5) ; |OA| = 5.3852**

**Vector OB = (10; 2) ; |OB| = 10.198**

**Scalar product OA .OB = 30**

**Angle ∠ AOB = 56°53'19″ = 0.9929 rad**