# Line slope calculator 9x+2y=20

**Straight line given by points A[0; 10] and B[2; 1]**

## Calculation:

**Slope-intercept form of line:**y = -4.5x+10

**Canonical form of the line equation:**9x+2y-20 = 0

**Parametric form of the line equation:**

x = 2t

y = -9t+10 ; t ∈ R

**Slope:**m = -4.5

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

**X intercept:**x

_{0}= 2.2222

**Y intercept:**y

_{0}= q = 10

**Distance line from the origin:**d

_{0}= 2.1693

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

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

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

**Midpoint of the segment AB: M =**[1; 5.5]

**Perpendicular Bisector equation:**2x-9y+47.5 = 0

**Vector OA = (0; 10) ; |OA| = 10**

**Vector OB = (2; 1) ; |OB| = 2.2361**

**Scalar product OA .OB = 10**

**Angle ∠ AOB = 63°26'6″ = 1.1071 rad**