# Line slope calculator 7x+2y=30

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

## Calculation:

**Slope-intercept form of line:**y = -3.5x+15

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

**Parametric form of the line equation:**

x = 2t+2

y = -7t+8 ; t ∈ R

**Slope:**m = -3.5

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

**X intercept:**x

_{0}= 4.2857

**Y intercept:**y

_{0}= q = 15

**Distance line from the origin:**d

_{0}= 4.1208

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

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

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

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

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

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

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

**Scalar product OA .OB = 16**

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