# Line slope calculator 3x-y=27

**Straight line given by points A[9; 0] and B[10; 3]**

## Calculation:

**Slope-intercept form of line:**y = 3x-27

**Canonical form of the line equation:**3x-y-27 = 0

**Parametric form of the line equation:**

x = t+9

y = 3t ; t ∈ R

**Slope:**m = 3

**Slope angle of line: φ =**71°33'54″ = 1.249 rad

**X intercept:**x

_{0}= 9

**Y intercept:**y

_{0}= q = -27

**Distance line from the origin:**d

_{0}= 8.5381

**The length of the segment AB: |AB| =**3.1623

**Vector: AB =**(1; 3)

**Normal vector: n =**(3; -1)

**Midpoint of the segment AB: M =**[9.5; 1.5]

**Perpendicular Bisector equation:**x+3y-14 = 0

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

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

**Scalar product OA .OB = 90**

**Angle ∠ AOB = 16°41'57″ = 0.2915 rad**