# Line slope calculator 3x-4y=-2

**Straight line given by points A[2; 2] and B[6; 5]**

## Calculation:

**Slope-intercept form of line:**y = 0.75x+0.5

**Canonical form of the line equation:**3x-4y+2 = 0

**Parametric form of the line equation:**

x = 4t+2

y = 3t+2 ; t ∈ R

**Slope:**m = 0.75

**Slope angle of line: φ =**36°52'12″ = 0.6435 rad

**X intercept:**x

_{0}= -0.6667

**Y intercept:**y

_{0}= q = 0.5

**Distance line from the origin:**d

_{0}= 0.4

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

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

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

**Midpoint of the segment AB: M =**[4; 3.5]

**Perpendicular Bisector equation:**4x+3y-26.5 = 0

**Vector OA = (2; 2) ; |OA| = 2.8284**

**Vector OB = (6; 5) ; |OB| = 7.8102**

**Scalar product OA .OB = 22**

**Angle ∠ AOB = 5°11'40″ = 0.0907 rad**