# Line slope calculator 5x-7y=-30

**Straight line given by points A[1; 5] and B[8; 10]**

## Calculation:

**Slope-intercept form of line:**y = 0.7143x+4.2857

**Canonical form of the line equation:**5x-7y+30 = 0

**Parametric form of the line equation:**

x = 7t+1

y = 5t+5 ; t ∈ R

**Slope:**m = 0.7143

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

**X intercept:**x

_{0}= -6

**Y intercept:**y

_{0}= q = 4.2857

**Distance line from the origin:**d

_{0}= 3.4874

**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; 7.5]

**Perpendicular Bisector equation:**7x+5y-69 = 0

**Vector OA = (1; 5) ; |OA| = 5.099**

**Vector OB = (8; 10) ; |OB| = 12.8062**

**Scalar product OA .OB = 58**

**Angle ∠ AOB = 27°21' = 0.4773 rad**