# Line slope calculator 5x+2y=37

**Straight line given by points A[5; 6] and B[7; 1]**

## Calculation:

**Slope-intercept form of line:**y = -2.5x+18.5

**Canonical form of the line equation:**5x+2y-37 = 0

**Parametric form of the line equation:**

x = 2t+5

y = -5t+6 ; t ∈ R

**Slope:**m = -2.5

**Slope angle of line: φ =**-68°11'55″ = -1.1903 rad

**X intercept:**x

_{0}= 7.4

**Y intercept:**y

_{0}= q = 18.5

**Distance line from the origin:**d

_{0}= 6.8707

**The length of the segment AB: |AB| =**5.3852

**Vector: AB =**(2; -5)

**Normal vector: n =**(5; 2)

**Midpoint of the segment AB: M =**[6; 3.5]

**Perpendicular Bisector equation:**2x-5y+5.5 = 0

**Vector OA = (5; 6) ; |OA| = 7.8102**

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

**Scalar product OA .OB = 41**

**Angle ∠ AOB = 42°3'52″ = 0.7342 rad**