# Line slope calculator 5x-y=2

**Straight line given by points A[1; 3] and B[2; 8]**

## Calculation:

**Slope-intercept form of line:**y = 5x-2

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

**Parametric form of the line equation:**

x = t+1

y = 5t+3 ; t ∈ R

**Slope:**m = 5

**Slope angle of line: φ =**78°41'24″ = 1.3734 rad

**X intercept:**x

_{0}= 0.4

**Y intercept:**y

_{0}= q = -2

**Distance line from the origin:**d

_{0}= 0.3922

**The length of the segment AB: |AB| =**5.099

**Vector: AB =**(1; 5)

**Normal vector: n =**(5; -1)

**Midpoint of the segment AB: M =**[1.5; 5.5]

**Perpendicular Bisector equation:**x+5y-29 = 0

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

**Vector OB = (2; 8) ; |OB| = 8.2462**

**Scalar product OA .OB = 26**

**Angle ∠ AOB = 4°23'55″ = 0.0768 rad**