# Line slope calculator 3x-5y=4

**Straight line given by points A[3; 1] and B[8; 4]**

## Calculation:

**Slope-intercept form of line:**y = 0.6x-0.8

**Canonical form of the line equation:**3x-5y-4 = 0

**Parametric form of the line equation:**

x = 5t+3

y = 3t+1 ; t ∈ R

**Slope:**m = 0.6

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

**X intercept:**x

_{0}= 1.3333

**Y intercept:**y

_{0}= q = -0.8

**Distance line from the origin:**d

_{0}= 0.686

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

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

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

**Midpoint of the segment AB: M =**[5.5; 2.5]

**Perpendicular Bisector equation:**5x+3y-35 = 0

**Vector OA = (3; 1) ; |OA| = 3.1623**

**Vector OB = (8; 4) ; |OB| = 8.9443**

**Scalar product OA .OB = 28**

**Angle ∠ AOB = 8°7'48″ = 0.1419 rad**