# Line slope calculator 5x+9y=77

**Straight line given by points A[1; 8] and B[10; 3]**

## Calculation:

**Slope-intercept form of line:**y = -0.5556x+8.5556

**Canonical form of the line equation:**5x+9y-77 = 0

**Parametric form of the line equation:**

x = 9t+1

y = -5t+8 ; t ∈ R

**Slope:**m = -0.5556

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

**X intercept:**x

_{0}= 15.4

**Y intercept:**y

_{0}= q = 8.5556

**Distance line from the origin:**d

_{0}= 7.4789

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

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

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

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

**Perpendicular Bisector equation:**9x-5y-22 = 0

**Vector OA = (1; 8) ; |OA| = 8.0623**

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

**Scalar product OA .OB = 34**

**Angle ∠ AOB = 66°10'33″ = 1.155 rad**