# Line slope calculator 5x-7y=-20

**Straight line given by points A[3; 5] and B[10; 10]**

## Calculation:

**Slope-intercept form of line:**y = 0.7143x+2.8571

**Canonical form of the line equation:**5x-7y+20 = 0

**Parametric form of the line equation:**

x = 7t+3

y = 5t+5 ; t ∈ R

**Slope:**m = 0.7143

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

**X intercept:**x

_{0}= -4

**Y intercept:**y

_{0}= q = 2.8571

**Distance line from the origin:**d

_{0}= 2.325

**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; 7.5]

**Perpendicular Bisector equation:**7x+5y-83 = 0

**Vector OA = (3; 5) ; |OA| = 5.831**

**Vector OB = (10; 10) ; |OB| = 14.1421**

**Scalar product OA .OB = 80**

**Angle ∠ AOB = 14°2'10″ = 0.245 rad**