# Line slope calculator 6x-y=40

**Straight line given by points A[7; 2] and B[8; 8]**

## Calculation:

**Slope-intercept form of line:**y = 6x-40

**Canonical form of the line equation:**6x-y-40 = 0

**Parametric form of the line equation:**

x = t+7

y = 6t+2 ; t ∈ R

**Slope:**m = 6

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

**X intercept:**x

_{0}= 6.6667

**Y intercept:**y

_{0}= q = -40

**Distance line from the origin:**d

_{0}= 6.576

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

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

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

**Midpoint of the segment AB: M =**[7.5; 5]

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

**Vector OA = (7; 2) ; |OA| = 7.2801**

**Vector OB = (8; 8) ; |OB| = 11.3137**

**Scalar product OA .OB = 72**

**Angle ∠ AOB = 29°3'17″ = 0.5071 rad**