# Line slope calculator 6x+y=34

**Straight line given by points A[4; 10] and B[5; 4]**

## Calculation:

**Slope-intercept form of line:**y = -6x+34

**Canonical form of the line equation:**6x+y-34 = 0

**Parametric form of the line equation:**

x = t+4

y = -6t+10 ; t ∈ R

**Slope:**m = -6

**Slope angle of line: φ =**-80°32'16″ = -1.4056 rad

**X intercept:**x

_{0}= 5.6667

**Y intercept:**y

_{0}= q = 34

**Distance line from the origin:**d

_{0}= 5.5896

**The length of the segment AB: |AB| =**6.0828

**Vector: AB =**(1; -6)

**Normal vector: n =**(6; 1)

**Midpoint of the segment AB: M =**[4.5; 7]

**Perpendicular Bisector equation:**x-6y+37.5 = 0

**Vector OA = (4; 10) ; |OA| = 10.7703**

**Vector OB = (5; 4) ; |OB| = 6.4031**

**Scalar product OA .OB = 60**

**Angle ∠ AOB = 29°32'20″ = 0.5155 rad**