# Line slope calculator 2x+3y=24

**Straight line given by points A[0; 8] and B[3; 6]**

## Calculation:

**Slope-intercept form of line:**y = -0.6667x+8

**Canonical form of the line equation:**2x+3y-24 = 0

**Parametric form of the line equation:**

x = 3t

y = -2t+8 ; t ∈ R

**Slope:**m = -0.6667

**Slope angle of line: φ =**-33°41'24″ = -0.588 rad

**X intercept:**x

_{0}= 12

**Y intercept:**y

_{0}= q = 8

**Distance line from the origin:**d

_{0}= 6.6564

**The length of the segment AB: |AB| =**3.6056

**Vector: AB =**(3; -2)

**Normal vector: n =**(2; 3)

**Midpoint of the segment AB: M =**[1.5; 7]

**Perpendicular Bisector equation:**3x-2y+9.5 = 0

**Vector OA = (0; 8) ; |OA| = 8**

**Vector OB = (3; 6) ; |OB| = 6.7082**

**Scalar product OA .OB = 48**

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