# Line slope calculator 4x-5y=2

**Straight line given by points A[3; 2] and B[8; 6]**

## Calculation:

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

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

**Parametric form of the line equation:**

x = 5t+3

y = 4t+2 ; t ∈ R

**Slope:**m = 0.8

**Slope angle of line: φ =**38°39'35″ = 0.6747 rad

**X intercept:**x

_{0}= 0.5

**Y intercept:**y

_{0}= q = -0.4

**Distance line from the origin:**d

_{0}= 0.3123

**The length of the segment AB: |AB| =**6.4031

**Vector: AB =**(5; 4)

**Normal vector: n =**(4; -5)

**Midpoint of the segment AB: M =**[5.5; 4]

**Perpendicular Bisector equation:**5x+4y-43.5 = 0

**Vector OA = (3; 2) ; |OA| = 3.6056**

**Vector OB = (8; 6) ; |OB| = 10**

**Scalar product OA .OB = 36**

**Angle ∠ AOB = 3°10'47″ = 0.0555 rad**