# Line slope calculator 3x-y=17

**Straight line given by points A[6; 1] and B[7; 4]**

## Calculation:

**Slope-intercept form of line:**y = 3x-17

**Canonical form of the line equation:**3x-y-17 = 0

**Parametric form of the line equation:**

x = t+6

y = 3t+1 ; t ∈ R

**Slope:**m = 3

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

**X intercept:**x

_{0}= 5.6667

**Y intercept:**y

_{0}= q = -17

**Distance line from the origin:**d

_{0}= 5.3759

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

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

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

**Midpoint of the segment AB: M =**[6.5; 2.5]

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

**Vector OA = (6; 1) ; |OA| = 6.0828**

**Vector OB = (7; 4) ; |OB| = 8.0623**

**Scalar product OA .OB = 46**

**Angle ∠ AOB = 20°16'57″ = 0.354 rad**