# Line slope calculator 2x-9y=-36

**Straight line given by points A[0; 4] and B[9; 6]**

## Calculation:

**Slope-intercept form of line:**y = 0.2222x+4

**Canonical form of the line equation:**2x-9y+36 = 0

**Parametric form of the line equation:**

x = 9t

y = 2t+4 ; t ∈ R

**Slope:**m = 0.2222

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

**X intercept:**x

_{0}= -18

**Y intercept:**y

_{0}= q = 4

**Distance line from the origin:**d

_{0}= 3.9047

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

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

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

**Midpoint of the segment AB: M =**[4.5; 5]

**Perpendicular Bisector equation:**9x+2y-50.5 = 0

**Vector OA = (0; 4) ; |OA| = 4**

**Vector OB = (9; 6) ; |OB| = 10.8167**

**Scalar product OA .OB = 24**

**Angle ∠ AOB = 56°18'36″ = 0.9828 rad**