# Line slope calculator 3x+7y=41

**Straight line given by points A[2; 5] and B[9; 2]**

## Calculation:

**Slope-intercept form of line:**y = -0.4286x+5.8571

**Canonical form of the line equation:**3x+7y-41 = 0

**Parametric form of the line equation:**

x = 7t+2

y = -3t+5 ; t ∈ R

**Slope:**m = -0.4286

**Slope angle of line: φ =**-23°11'55″ = -0.4049 rad

**X intercept:**x

_{0}= 13.6667

**Y intercept:**y

_{0}= q = 5.8571

**Distance line from the origin:**d

_{0}= 5.3836

**The length of the segment AB: |AB| =**7.6158

**Vector: AB =**(7; -3)

**Normal vector: n =**(3; 7)

**Midpoint of the segment AB: M =**[5.5; 3.5]

**Perpendicular Bisector equation:**7x-3y-28 = 0

**Vector OA = (2; 5) ; |OA| = 5.3852**

**Vector OB = (9; 2) ; |OB| = 9.2195**

**Scalar product OA .OB = 28**

**Angle ∠ AOB = 55°40'11″ = 0.9716 rad**