# Line slope calculator 5x-2y=14

**Straight line given by points A[4; 3] and B[6; 8]**

## Calculation:

**Slope-intercept form of line:**y = 2.5x-7

**Canonical form of the line equation:**5x-2y-14 = 0

**Parametric form of the line equation:**

x = 2t+4

y = 5t+3 ; t ∈ R

**Slope:**m = 2.5

**Slope angle of line: φ =**68°11'55″ = 1.1903 rad

**X intercept:**x

_{0}= 2.8

**Y intercept:**y

_{0}= q = -7

**Distance line from the origin:**d

_{0}= 2.5997

**The length of the segment AB: |AB| =**5.3852

**Vector: AB =**(2; 5)

**Normal vector: n =**(5; -2)

**Midpoint of the segment AB: M =**[5; 5.5]

**Perpendicular Bisector equation:**2x+5y-37.5 = 0

**Vector OA = (4; 3) ; |OA| = 5**

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

**Scalar product OA .OB = 48**

**Angle ∠ AOB = 16°15'37″ = 0.2838 rad**