# Line slope calculator 2x+3y=44

**Straight line given by points A[7; 10] and B[10; 8]**

## Calculation:

**Slope-intercept form of line:**y = -0.6667x+14.6667

**Canonical form of the line equation:**2x+3y-44 = 0

**Parametric form of the line equation:**

x = 3t+7

y = -2t+10 ; t ∈ R

**Slope:**m = -0.6667

**Slope angle of line: φ =**-33°41'24″ = -0.588 rad

**X intercept:**x

_{0}= 22

**Y intercept:**y

_{0}= q = 14.6667

**Distance line from the origin:**d

_{0}= 12.2034

**The length of the segment AB: |AB| =**3.6056

**Vector: AB =**(3; -2)

**Normal vector: n =**(2; 3)

**Midpoint of the segment AB: M =**[8.5; 9]

**Perpendicular Bisector equation:**3x-2y-7.5 = 0

**Vector OA = (7; 10) ; |OA| = 12.2066**

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

**Scalar product OA .OB = 150**

**Angle ∠ AOB = 16°20'53″ = 0.2853 rad**