# Line slope calculator 8x+3y=54

**Straight line given by points A[3; 10] and B[6; 2]**

## Calculation:

**Slope-intercept form of line:**y = -2.6667x+18

**Canonical form of the line equation:**8x+3y-54 = 0

**Parametric form of the line equation:**

x = 3t+3

y = -8t+10 ; t ∈ R

**Slope:**m = -2.6667

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

**X intercept:**x

_{0}= 6.75

**Y intercept:**y

_{0}= q = 18

**Distance line from the origin:**d

_{0}= 6.3202

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

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

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

**Midpoint of the segment AB: M =**[4.5; 6]

**Perpendicular Bisector equation:**3x-8y+34.5 = 0

**Vector OA = (3; 10) ; |OA| = 10.4403**

**Vector OB = (6; 2) ; |OB| = 6.3246**

**Scalar product OA .OB = 38**

**Angle ∠ AOB = 54°51'57″ = 0.9576 rad**