# Line slope calculator 5x-7y=5

**Straight line given by points A[1; 0] and B[8; 5]**

## Calculation:

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

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

**Parametric form of the line equation:**

x = 7t+1

y = 5t ; t ∈ R

**Slope:**m = 0.7143

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

**X intercept:**x

_{0}= 1

**Y intercept:**y

_{0}= q = -0.7143

**Distance line from the origin:**d

_{0}= 0.5812

**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; 2.5]

**Perpendicular Bisector equation:**7x+5y-44 = 0

**Vector OA = (1; 0) ; |OA| = 1**

**Vector OB = (8; 5) ; |OB| = 9.434**

**Scalar product OA .OB = 8**

**Angle ∠ AOB = 32°19″ = 0.5586 rad**