# Line slope calculator 3x-5y=1

**Straight line given by points A[2; 1] and B[7; 4]**

## Calculation:

**Slope-intercept form of line:**y = 0.6x-0.2

**Canonical form of the line equation:**3x-5y-1 = 0

**Parametric form of the line equation:**

x = 5t+2

y = 3t+1 ; t ∈ R

**Slope:**m = 0.6

**Slope angle of line: φ =**30°57'50″ = 0.5404 rad

**X intercept:**x

_{0}= 0.3333

**Y intercept:**y

_{0}= q = -0.2

**Distance line from the origin:**d

_{0}= 0.1715

**The length of the segment AB: |AB| =**5.831

**Vector: AB =**(5; 3)

**Normal vector: n =**(3; -5)

**Midpoint of the segment AB: M =**[4.5; 2.5]

**Perpendicular Bisector equation:**5x+3y-30 = 0

**Vector OA = (2; 1) ; |OA| = 2.2361**

**Vector OB = (7; 4) ; |OB| = 8.0623**

**Scalar product OA .OB = 18**

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