# Line slope calculator 2x+7y=23

**Straight line given by points A[1; 3] and B[8; 1]**

## Calculation:

**Slope-intercept form of line:**y = -0.2857x+3.2857

**Canonical form of the line equation:**2x+7y-23 = 0

**Parametric form of the line equation:**

x = 7t+1

y = -2t+3 ; t ∈ R

**Slope:**m = -0.2857

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

**X intercept:**x

_{0}= 11.5

**Y intercept:**y

_{0}= q = 3.2857

**Distance line from the origin:**d

_{0}= 3.1593

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

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

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

**Midpoint of the segment AB: M =**[4.5; 2]

**Perpendicular Bisector equation:**7x-2y-27.5 = 0

**Vector OA = (1; 3) ; |OA| = 3.1623**

**Vector OB = (8; 1) ; |OB| = 8.0623**

**Scalar product OA .OB = 11**

**Angle ∠ AOB = 64°26'24″ = 1.1247 rad**