# Line slope calculator 3x-4y=-14

**Straight line given by points A[2; 5] and B[6; 8]**

## Calculation:

**Slope-intercept form of line:**y = 0.75x+3.5

**Canonical form of the line equation:**3x-4y+14 = 0

**Parametric form of the line equation:**

x = 4t+2

y = 3t+5 ; t ∈ R

**Slope:**m = 0.75

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

**X intercept:**x

_{0}= -4.6667

**Y intercept:**y

_{0}= q = 3.5

**Distance line from the origin:**d

_{0}= 2.8

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

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

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

**Midpoint of the segment AB: M =**[4; 6.5]

**Perpendicular Bisector equation:**4x+3y-35.5 = 0

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

**Vector OB = (6; 8) ; |OB| = 10**

**Scalar product OA .OB = 52**

**Angle ∠ AOB = 15°4'7″ = 0.263 rad**