# Line slope calculator 2x+7y=74

**Straight line given by points A[2; 10] and B[9; 8]**

## Calculation:

**Slope-intercept form of line:**y = -0.2857x+10.5714

**Canonical form of the line equation:**2x+7y-74 = 0

**Parametric form of the line equation:**

x = 7t+2

y = -2t+10 ; t ∈ R

**Slope:**m = -0.2857

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

**X intercept:**x

_{0}= 37

**Y intercept:**y

_{0}= q = 10.5714

**Distance line from the origin:**d

_{0}= 10.1647

**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; 9]

**Perpendicular Bisector equation:**7x-2y-20.5 = 0

**Vector OA = (2; 10) ; |OA| = 10.198**

**Vector OB = (9; 8) ; |OB| = 12.0416**

**Scalar product OA .OB = 98**

**Angle ∠ AOB = 37°3'24″ = 0.6468 rad**