# Line slope calculator 2x+7y=46

**Straight line given by points A[2; 6] and B[9; 4]**

## Calculation:

**Slope-intercept form of line:**y = -0.2857x+6.5714

**Canonical form of the line equation:**2x+7y-46 = 0

**Parametric form of the line equation:**

x = 7t+2

y = -2t+6 ; t ∈ R

**Slope:**m = -0.2857

**Slope angle of line: φ =**-15°56'43″ = -0.2783 rad

**X intercept:**x

_{0}= 23

**Y intercept:**y

_{0}= q = 6.5714

**Distance line from the origin:**d

_{0}= 6.3186

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

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

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

**Midpoint of the segment AB: M =**[5.5; 5]

**Perpendicular Bisector equation:**7x-2y-28.5 = 0

**Vector OA = (2; 6) ; |OA| = 6.3246**

**Vector OB = (9; 4) ; |OB| = 9.8489**

**Scalar product OA .OB = 42**

**Angle ∠ AOB = 47°36'9″ = 0.8308 rad**