# Line slope calculator 5x+9y=72

**Straight line given by points A[0; 8] and B[9; 3]**

## Calculation:

**Slope-intercept form of line:**y = -0.5556x+8

**Canonical form of the line equation:**5x+9y-72 = 0

**Parametric form of the line equation:**

x = 9t

y = -5t+8 ; t ∈ R

**Slope:**m = -0.5556

**Slope angle of line: φ =**-29°3'17″ = -0.5071 rad

**X intercept:**x

_{0}= 14.4

**Y intercept:**y

_{0}= q = 8

**Distance line from the origin:**d

_{0}= 6.9933

**The length of the segment AB: |AB| =**10.2956

**Vector: AB =**(9; -5)

**Normal vector: n =**(5; 9)

**Midpoint of the segment AB: M =**[4.5; 5.5]

**Perpendicular Bisector equation:**9x-5y-13 = 0

**Vector OA = (0; 8) ; |OA| = 8**

**Vector OB = (9; 3) ; |OB| = 9.4868**

**Scalar product OA .OB = 24**

**Angle ∠ AOB = 71°33'54″ = 1.249 rad**