# Line slope calculator 7x+2y=51

**Straight line given by points A[5; 8] and B[7; 1]**

## Calculation:

**Slope-intercept form of line:**y = -3.5x+25.5

**Canonical form of the line equation:**7x+2y-51 = 0

**Parametric form of the line equation:**

x = 2t+5

y = -7t+8 ; t ∈ R

**Slope:**m = -3.5

**Slope angle of line: φ =**-74°3'17″ = -1.2925 rad

**X intercept:**x

_{0}= 7.2857

**Y intercept:**y

_{0}= q = 25.5

**Distance line from the origin:**d

_{0}= 7.0054

**The length of the segment AB: |AB| =**7.2801

**Vector: AB =**(2; -7)

**Normal vector: n =**(7; 2)

**Midpoint of the segment AB: M =**[6; 4.5]

**Perpendicular Bisector equation:**2x-7y+19.5 = 0

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

**Vector OB = (7; 1) ; |OB| = 7.0711**

**Scalar product OA .OB = 43**

**Angle ∠ AOB = 49°51'52″ = 0.8703 rad**