# Line slope calculator 8x-7y=2

**Straight line given by points A[2; 2] and B[9; 10]**

## Calculation:

**Slope-intercept form of line:**y = 1.1429x-0.2857

**Canonical form of the line equation:**8x-7y-2 = 0

**Parametric form of the line equation:**

x = 7t+2

y = 8t+2 ; t ∈ R

**Slope:**m = 1.1429

**Slope angle of line: φ =**48°48'51″ = 0.852 rad

**X intercept:**x

_{0}= 0.25

**Y intercept:**y

_{0}= q = -0.2857

**Distance line from the origin:**d

_{0}= 0.1881

**The length of the segment AB: |AB| =**10.6301

**Vector: AB =**(7; 8)

**Normal vector: n =**(8; -7)

**Midpoint of the segment AB: M =**[5.5; 6]

**Perpendicular Bisector equation:**7x+8y-86.5 = 0

**Vector OA = (2; 2) ; |OA| = 2.8284**

**Vector OB = (9; 10) ; |OB| = 13.4536**

**Scalar product OA .OB = 38**

**Angle ∠ AOB = 3°46″ = 0.0526 rad**