# Line slope calculator 2x-5y=4

**Straight line given by points A[2; 0] and B[7; 2]**

## Calculation:

**Slope-intercept form of line:**y = 0.4x-0.8

**Canonical form of the line equation:**2x-5y-4 = 0

**Parametric form of the line equation:**

x = 5t+2

y = 2t ; t ∈ R

**Slope:**m = 0.4

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

**X intercept:**x

_{0}= 2

**Y intercept:**y

_{0}= q = -0.8

**Distance line from the origin:**d

_{0}= 0.7428

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

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

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

**Midpoint of the segment AB: M =**[4.5; 1]

**Perpendicular Bisector equation:**5x+2y-24.5 = 0

**Vector OA = (2; 0) ; |OA| = 2**

**Vector OB = (7; 2) ; |OB| = 7.2801**

**Scalar product OA .OB = 14**

**Angle ∠ AOB = 15°56'43″ = 0.2783 rad**