# Line slope calculator 2x-5y=8

**Straight line given by points A[4; 0] and B[9; 2]**

## Calculation:

**Slope-intercept form of line:**y = 0.4x-1.6

**Canonical form of the line equation:**2x-5y-8 = 0

**Parametric form of the line equation:**

x = 5t+4

y = 2t ; t ∈ R

**Slope:**m = 0.4

**Slope angle of line: φ =**21°48'5″ = 0.3805 rad

**X intercept:**x

_{0}= 4

**Y intercept:**y

_{0}= q = -1.6

**Distance line from the origin:**d

_{0}= 1.4856

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

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

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

**Midpoint of the segment AB: M =**[6.5; 1]

**Perpendicular Bisector equation:**5x+2y-34.5 = 0

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

**Vector OB = (9; 2) ; |OB| = 9.2195**

**Scalar product OA .OB = 36**

**Angle ∠ AOB = 12°31'44″ = 0.2187 rad**