# Line slope calculator 5x-7y=-16

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

## Calculation:

**Slope-intercept form of line:**y = 0.7143x+2.2857

**Canonical form of the line equation:**5x-7y+16 = 0

**Parametric form of the line equation:**

x = 7t+1

y = 5t+3 ; t ∈ R

**Slope:**m = 0.7143

**Slope angle of line: φ =**35°32'16″ = 0.6202 rad

**X intercept:**x

_{0}= -3.2

**Y intercept:**y

_{0}= q = 2.2857

**Distance line from the origin:**d

_{0}= 1.86

**The length of the segment AB: |AB| =**8.6023

**Vector: AB =**(7; 5)

**Normal vector: n =**(5; -7)

**Midpoint of the segment AB: M =**[4.5; 5.5]

**Perpendicular Bisector equation:**7x+5y-59 = 0

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

**Vector OB = (8; 8) ; |OB| = 11.3137**

**Scalar product OA .OB = 32**

**Angle ∠ AOB = 26°33'54″ = 0.4636 rad**