# Line slope calculator 9x-2y=34

**Straight line given by points A[4; 1] and B[6; 10]**

## Calculation:

**Slope-intercept form of line:**y = 4.5x-17

**Canonical form of the line equation:**9x-2y-34 = 0

**Parametric form of the line equation:**

x = 2t+4

y = 9t+1 ; t ∈ R

**Slope:**m = 4.5

**Slope angle of line: φ =**77°28'16″ = 1.3521 rad

**X intercept:**x

_{0}= 3.7778

**Y intercept:**y

_{0}= q = -17

**Distance line from the origin:**d

_{0}= 3.6878

**The length of the segment AB: |AB| =**9.2195

**Vector: AB =**(2; 9)

**Normal vector: n =**(9; -2)

**Midpoint of the segment AB: M =**[5; 5.5]

**Perpendicular Bisector equation:**2x+9y-59.5 = 0

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

**Vector OB = (6; 10) ; |OB| = 11.6619**

**Scalar product OA .OB = 34**

**Angle ∠ AOB = 45° = 0.7854 rad**