# Line slope calculator x+7y=23

**Straight line given by points A[2; 3] and B[9; 2]**

## Calculation:

**Slope-intercept form of line:**y = -0.1429x+3.2857

**Canonical form of the line equation:**x+7y-23 = 0

**Parametric form of the line equation:**

x = 7t+2

y = -t+3 ; t ∈ R

**Slope:**m = -0.1429

**Slope angle of line: φ =**-8°7'48″ = -0.1419 rad

**X intercept:**x

_{0}= 23

**Y intercept:**y

_{0}= q = 3.2857

**Distance line from the origin:**d

_{0}= 3.2527

**The length of the segment AB: |AB| =**7.0711

**Vector: AB =**(7; -1)

**Normal vector: n =**(1; 7)

**Midpoint of the segment AB: M =**[5.5; 2.5]

**Perpendicular Bisector equation:**7x-y-36 = 0

**Vector OA = (2; 3) ; |OA| = 3.6056**

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

**Scalar product OA .OB = 24**

**Angle ∠ AOB = 43°46'52″ = 0.7641 rad**