# Line slope calculator 7x-2y=36

**Straight line given by points A[6; 3] and B[8; 10]**

## Calculation:

**Slope-intercept form of line:**y = 3.5x-18

**Canonical form of the line equation:**7x-2y-36 = 0

**Parametric form of the line equation:**

x = 2t+6

y = 7t+3 ; t ∈ R

**Slope:**m = 3.5

**Slope angle of line: φ =**74°3'17″ = 1.2925 rad

**X intercept:**x

_{0}= 5.1429

**Y intercept:**y

_{0}= q = -18

**Distance line from the origin:**d

_{0}= 4.945

**The length of the segment AB: |AB| =**7.2801

**Vector: AB =**(2; 7)

**Normal vector: n =**(7; -2)

**Midpoint of the segment AB: M =**[7; 6.5]

**Perpendicular Bisector equation:**2x+7y-59.5 = 0

**Vector OA = (6; 3) ; |OA| = 6.7082**

**Vector OB = (8; 10) ; |OB| = 12.8062**

**Scalar product OA .OB = 78**

**Angle ∠ AOB = 24°46'31″ = 0.4324 rad**