# Line slope calculator 2x+9y=74

**Straight line given by points A[1; 8] and B[10; 6]**

## Calculation:

**Slope-intercept form of line:**y = -0.2222x+8.2222

**Canonical form of the line equation:**2x+9y-74 = 0

**Parametric form of the line equation:**

x = 9t+1

y = -2t+8 ; t ∈ R

**Slope:**m = -0.2222

**Slope angle of line: φ =**-12°31'44″ = -0.2187 rad

**X intercept:**x

_{0}= 37

**Y intercept:**y

_{0}= q = 8.2222

**Distance line from the origin:**d

_{0}= 8.0264

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

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

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

**Midpoint of the segment AB: M =**[5.5; 7]

**Perpendicular Bisector equation:**9x-2y-35.5 = 0

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

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

**Scalar product OA .OB = 58**

**Angle ∠ AOB = 51°54'40″ = 0.906 rad**