# Line slope calculator 9x+2y=47

**Straight line given by points A[3; 10] and B[5; 1]**

## Calculation:

**Slope-intercept form of line:**y = -4.5x+23.5

**Canonical form of the line equation:**9x+2y-47 = 0

**Parametric form of the line equation:**

x = 2t+3

y = -9t+10 ; t ∈ R

**Slope:**m = -4.5

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

**X intercept:**x

_{0}= 5.2222

**Y intercept:**y

_{0}= q = 23.5

**Distance line from the origin:**d

_{0}= 5.0979

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

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

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

**Midpoint of the segment AB: M =**[4; 5.5]

**Perpendicular Bisector equation:**2x-9y+41.5 = 0

**Vector OA = (3; 10) ; |OA| = 10.4403**

**Vector OB = (5; 1) ; |OB| = 5.099**

**Scalar product OA .OB = 25**

**Angle ∠ AOB = 61°59'27″ = 1.0819 rad**