# Line slope calculator 5x-7y=8

**Straight line given by points A[3; 1] and B[10; 6]**

## Calculation:

**Slope-intercept form of line:**y = 0.7143x-1.1429

**Canonical form of the line equation:**5x-7y-8 = 0

**Parametric form of the line equation:**

x = 7t+3

y = 5t+1 ; t ∈ R

**Slope:**m = 0.7143

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

**X intercept:**x

_{0}= 1.6

**Y intercept:**y

_{0}= q = -1.1429

**Distance line from the origin:**d

_{0}= 0.93

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

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

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

**Midpoint of the segment AB: M =**[6.5; 3.5]

**Perpendicular Bisector equation:**7x+5y-63 = 0

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

**Vector OB = (10; 6) ; |OB| = 11.6619**

**Scalar product OA .OB = 36**

**Angle ∠ AOB = 12°31'44″ = 0.2187 rad**