# Line slope calculator 7x-5y=20

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

## Calculation:

**Slope-intercept form of line:**y = 1.4x-4

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

**Parametric form of the line equation:**

x = 5t+5

y = 7t+3 ; t ∈ R

**Slope:**m = 1.4

**Slope angle of line: φ =**54°27'44″ = 0.9505 rad

**X intercept:**x

_{0}= 2.8571

**Y intercept:**y

_{0}= q = -4

**Distance line from the origin:**d

_{0}= 2.325

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

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

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

**Midpoint of the segment AB: M =**[7.5; 6.5]

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

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

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

**Scalar product OA .OB = 80**

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