# Line slope calculator 2x-5y=3

**Straight line given by points A[4; 1] and B[9; 3]**

## Calculation:

**Slope-intercept form of line:**y = 0.4x-0.6

**Canonical form of the line equation:**2x-5y-3 = 0

**Parametric form of the line equation:**

x = 5t+4

y = 2t+1 ; t ∈ R

**Slope:**m = 0.4

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

**X intercept:**x

_{0}= 1.5

**Y intercept:**y

_{0}= q = -0.6

**Distance line from the origin:**d

_{0}= 0.5571

**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; 2]

**Perpendicular Bisector equation:**5x+2y-36.5 = 0

**Vector OA = (4; 1) ; |OA| = 4.1231**

**Vector OB = (9; 3) ; |OB| = 9.4868**

**Scalar product OA .OB = 39**

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