# Line slope calculator 5x-2y=-1

**Straight line given by points A[1; 3] and B[3; 8]**

## Calculation:

**Slope-intercept form of line:**y = 2.5x+0.5

**Canonical form of the line equation:**5x-2y+1 = 0

**Parametric form of the line equation:**

x = 2t+1

y = 5t+3 ; t ∈ R

**Slope:**m = 2.5

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

**X intercept:**x

_{0}= -0.2

**Y intercept:**y

_{0}= q = 0.5

**Distance line from the origin:**d

_{0}= 0.1857

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

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

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

**Midpoint of the segment AB: M =**[2; 5.5]

**Perpendicular Bisector equation:**2x+5y-31.5 = 0

**Vector OA = (1; 3) ; |OA| = 3.1623**

**Vector OB = (3; 8) ; |OB| = 8.544**

**Scalar product OA .OB = 27**

**Angle ∠ AOB = 2°7'16″ = 0.037 rad**