# Line slope calculator 2x+7y=34

**Straight line given by points A[3; 4] and B[10; 2]**

## Calculation:

**Slope-intercept form of line:**y = -0.2857x+4.8571

**Canonical form of the line equation:**2x+7y-34 = 0

**Parametric form of the line equation:**

x = 7t+3

y = -2t+4 ; t ∈ R

**Slope:**m = -0.2857

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

**X intercept:**x

_{0}= 17

**Y intercept:**y

_{0}= q = 4.8571

**Distance line from the origin:**d

_{0}= 4.6703

**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; 3]

**Perpendicular Bisector equation:**7x-2y-39.5 = 0

**Vector OA = (3; 4) ; |OA| = 5**

**Vector OB = (10; 2) ; |OB| = 10.198**

**Scalar product OA .OB = 38**

**Angle ∠ AOB = 41°49'13″ = 0.7299 rad**