# Line slope calculator 4x-3y=-6

**Straight line given by points A[0; 2] and B[3; 6]**

## Calculation:

**Slope-intercept form of line:**y = 1.3333x+2

**Canonical form of the line equation:**4x-3y+6 = 0

**Parametric form of the line equation:**

x = 3t

y = 4t+2 ; t ∈ R

**Slope:**m = 1.3333

**Slope angle of line: φ =**53°7'48″ = 0.9273 rad

**X intercept:**x

_{0}= -1.5

**Y intercept:**y

_{0}= q = 2

**Distance line from the origin:**d

_{0}= 1.2

**The length of the segment AB: |AB| =**5

**Vector: AB =**(3; 4)

**Normal vector: n =**(4; -3)

**Midpoint of the segment AB: M =**[1.5; 4]

**Perpendicular Bisector equation:**3x+4y-20.5 = 0

**Vector OA = (0; 2) ; |OA| = 2**

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

**Scalar product OA .OB = 12**

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