# Line slope calculator 7x+2y=76

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

## Calculation:

**Slope-intercept form of line:**y = -3.5x+38

**Canonical form of the line equation:**7x+2y-76 = 0

**Parametric form of the line equation:**

x = 2t+8

y = -7t+10 ; t ∈ R

**Slope:**m = -3.5

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

**X intercept:**x

_{0}= 10.8571

**Y intercept:**y

_{0}= q = 38

**Distance line from the origin:**d

_{0}= 10.4394

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

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

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

**Midpoint of the segment AB: M =**[9; 6.5]

**Perpendicular Bisector equation:**2x-7y+27.5 = 0

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

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

**Scalar product OA .OB = 110**

**Angle ∠ AOB = 34°38'27″ = 0.6046 rad**