# Line slope calculator 6x+5y=54

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

## Calculation:

**Slope-intercept form of line:**y = -1.2x+10.8

**Canonical form of the line equation:**6x+5y-54 = 0

**Parametric form of the line equation:**

x = 5t+4

y = -6t+6 ; t ∈ R

**Slope:**m = -1.2

**Slope angle of line: φ =**-50°11'40″ = -0.8761 rad

**X intercept:**x

_{0}= 9

**Y intercept:**y

_{0}= q = 10.8

**Distance line from the origin:**d

_{0}= 6.914

**The length of the segment AB: |AB| =**7.8102

**Vector: AB =**(5; -6)

**Normal vector: n =**(6; 5)

**Midpoint of the segment AB: M =**[6.5; 3]

**Perpendicular Bisector equation:**5x-6y-14.5 = 0

**Vector OA = (4; 6) ; |OA| = 7.2111**

**Vector OB = (9; 0) ; |OB| = 9**

**Scalar product OA .OB = 36**

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