# Line slope calculator 4x+3y=54

**Straight line given by points A[6; 10] and B[9; 6]**

## Calculation:

**Slope-intercept form of line:**y = -1.3333x+18

**Canonical form of the line equation:**4x+3y-54 = 0

**Parametric form of the line equation:**

x = 3t+6

y = -4t+10 ; t ∈ R

**Slope:**m = -1.3333

**Slope angle of line: φ =**-53°7'48″ = -0.9273 rad

**X intercept:**x

_{0}= 13.5

**Y intercept:**y

_{0}= q = 18

**Distance line from the origin:**d

_{0}= 10.8

**The length of the segment AB: |AB| =**5

**Vector: AB =**(3; -4)

**Normal vector: n =**(4; 3)

**Midpoint of the segment AB: M =**[7.5; 8]

**Perpendicular Bisector equation:**3x-4y+9.5 = 0

**Vector OA = (6; 10) ; |OA| = 11.6619**

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

**Scalar product OA .OB = 114**

**Angle ∠ AOB = 25°20'46″ = 0.4424 rad**