# Line slope calculator 2x+7y=30

**Straight line given by points A[1; 4] and B[8; 2]**

## Calculation:

**Slope-intercept form of line:**y = -0.2857x+4.2857

**Canonical form of the line equation:**2x+7y-30 = 0

**Parametric form of the line equation:**

x = 7t+1

y = -2t+4 ; t ∈ R

**Slope:**m = -0.2857

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

**X intercept:**x

_{0}= 15

**Y intercept:**y

_{0}= q = 4.2857

**Distance line from the origin:**d

_{0}= 4.1208

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

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

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

**Midpoint of the segment AB: M =**[4.5; 3]

**Perpendicular Bisector equation:**7x-2y-25.5 = 0

**Vector OA = (1; 4) ; |OA| = 4.1231**

**Vector OB = (8; 2) ; |OB| = 8.2462**

**Scalar product OA .OB = 16**

**Angle ∠ AOB = 61°55'39″ = 1.0808 rad**