# Line slope calculator 7x-2y=54

**Straight line given by points A[8; 1] and B[10; 8]**

## Calculation:

**Slope-intercept form of line:**y = 3.5x-27

**Canonical form of the line equation:**7x-2y-54 = 0

**Parametric form of the line equation:**

x = 2t+8

y = 7t+1 ; t ∈ R

**Slope:**m = 3.5

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

**X intercept:**x

_{0}= 7.7143

**Y intercept:**y

_{0}= q = -27

**Distance line from the origin:**d

_{0}= 7.4175

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

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

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

**Midpoint of the segment AB: M =**[9; 4.5]

**Perpendicular Bisector equation:**2x+7y-49.5 = 0

**Vector OA = (8; 1) ; |OA| = 8.0623**

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

**Scalar product OA .OB = 88**

**Angle ∠ AOB = 31°32'5″ = 0.5504 rad**