# Line slope calculator 9x+2y=83

**Straight line given by points A[7; 10] and B[9; 1]**

## Calculation:

**Slope-intercept form of line:**y = -4.5x+41.5

**Canonical form of the line equation:**9x+2y-83 = 0

**Parametric form of the line equation:**

x = 2t+7

y = -9t+10 ; t ∈ R

**Slope:**m = -4.5

**Slope angle of line: φ =**-77°28'16″ = -1.3521 rad

**X intercept:**x

_{0}= 9.2222

**Y intercept:**y

_{0}= q = 41.5

**Distance line from the origin:**d

_{0}= 9.0026

**The length of the segment AB: |AB| =**9.2195

**Vector: AB =**(2; -9)

**Normal vector: n =**(9; 2)

**Midpoint of the segment AB: M =**[8; 5.5]

**Perpendicular Bisector equation:**2x-9y+33.5 = 0

**Vector OA = (7; 10) ; |OA| = 12.2066**

**Vector OB = (9; 1) ; |OB| = 9.0554**

**Scalar product OA .OB = 73**

**Angle ∠ AOB = 48°40'4″ = 0.8494 rad**