# Line slope calculator 9x+2y=56

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

## Calculation:

**Slope-intercept form of line:**y = -4.5x+28

**Canonical form of the line equation:**9x+2y-56 = 0

**Parametric form of the line equation:**

x = 2t+4

y = -9t+10 ; t ∈ R

**Slope:**m = -4.5

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

**X intercept:**x

_{0}= 6.2222

**Y intercept:**y

_{0}= q = 28

**Distance line from the origin:**d

_{0}= 6.0741

**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+39.5 = 0

**Vector OA = (4; 10) ; |OA| = 10.7703**

**Vector OB = (6; 1) ; |OB| = 6.0828**

**Scalar product OA .OB = 34**

**Angle ∠ AOB = 58°44'11″ = 1.0251 rad**