# Line slope calculator 2x+9y=47

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

## Calculation:

**Slope-intercept form of line:**y = -0.2222x+5.2222

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

**Parametric form of the line equation:**

x = 9t+1

y = -2t+5 ; t ∈ R

**Slope:**m = -0.2222

**Slope angle of line: φ =**-12°31'44″ = -0.2187 rad

**X intercept:**x

_{0}= 23.5

**Y intercept:**y

_{0}= q = 5.2222

**Distance line from the origin:**d

_{0}= 5.0979

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

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

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

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

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

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

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

**Scalar product OA .OB = 25**

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