# Line slope calculator 2x+7y=76

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

## Calculation:

**Slope-intercept form of line:**y = -0.2857x+10.8571

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

**Parametric form of the line equation:**

x = 7t+3

y = -2t+10 ; t ∈ R

**Slope:**m = -0.2857

**Slope angle of line: φ =**-15°56'43″ = -0.2783 rad

**X intercept:**x

_{0}= 38

**Y intercept:**y

_{0}= q = 10.8571

**Distance line from the origin:**d

_{0}= 10.4394

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

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

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

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

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

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

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

**Scalar product OA .OB = 110**

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