# Line slope calculator 7x-2y=12

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

## Calculation:

**Slope-intercept form of line:**y = 3.5x-6

**Canonical form of the line equation:**7x-2y-12 = 0

**Parametric form of the line equation:**

x = 2t+2

y = 7t+1 ; t ∈ R

**Slope:**m = 3.5

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

**X intercept:**x

_{0}= 1.7143

**Y intercept:**y

_{0}= q = -6

**Distance line from the origin:**d

_{0}= 1.6483

**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-37.5 = 0

**Vector OA = (2; 1) ; |OA| = 2.2361**

**Vector OB = (4; 8) ; |OB| = 8.9443**

**Scalar product OA .OB = 16**

**Angle ∠ AOB = 36°52'12″ = 0.6435 rad**