# Line slope calculator 5x-2y=20

**Straight line given by points A[4; 0] and B[6; 5]**

## Calculation:

**Slope-intercept form of line:**y = 2.5x-10

**Canonical form of the line equation:**5x-2y-20 = 0

**Parametric form of the line equation:**

x = 2t+4

y = 5t ; t ∈ R

**Slope:**m = 2.5

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

**X intercept:**x

_{0}= 4

**Y intercept:**y

_{0}= q = -10

**Distance line from the origin:**d

_{0}= 3.7139

**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; 2.5]

**Perpendicular Bisector equation:**2x+5y-22.5 = 0

**Vector OA = (4; 0) ; |OA| = 4**

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

**Scalar product OA .OB = 24**

**Angle ∠ AOB = 39°48'20″ = 0.6947 rad**