# Line slope calculator 4x+9y=54

**Straight line given by points A[0; 6] and B[9; 2]**

## Calculation:

**Slope-intercept form of line:**y = -0.4444x+6

**Canonical form of the line equation:**4x+9y-54 = 0

**Parametric form of the line equation:**

x = 9t

y = -4t+6 ; t ∈ R

**Slope:**m = -0.4444

**Slope angle of line: φ =**-23°57'45″ = -0.4182 rad

**X intercept:**x

_{0}= 13.5

**Y intercept:**y

_{0}= q = 6

**Distance line from the origin:**d

_{0}= 5.4829

**The length of the segment AB: |AB| =**9.8489

**Vector: AB =**(9; -4)

**Normal vector: n =**(4; 9)

**Midpoint of the segment AB: M =**[4.5; 4]

**Perpendicular Bisector equation:**9x-4y-24.5 = 0

**Vector OA = (0; 6) ; |OA| = 6**

**Vector OB = (9; 2) ; |OB| = 9.2195**

**Scalar product OA .OB = 12**

**Angle ∠ AOB = 77°28'16″ = 1.3521 rad**