# Line slope calculator 3x-2y=21

**Straight line given by points A[7; 0] and B[9; 3]**

## Calculation:

**Slope-intercept form of line:**y = 1.5x-10.5

**Canonical form of the line equation:**3x-2y-21 = 0

**Parametric form of the line equation:**

x = 2t+7

y = 3t ; t ∈ R

**Slope:**m = 1.5

**Slope angle of line: φ =**56°18'36″ = 0.9828 rad

**X intercept:**x

_{0}= 7

**Y intercept:**y

_{0}= q = -10.5

**Distance line from the origin:**d

_{0}= 5.8244

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

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

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

**Midpoint of the segment AB: M =**[8; 1.5]

**Perpendicular Bisector equation:**2x+3y-20.5 = 0

**Vector OA = (7; 0) ; |OA| = 7**

**Vector OB = (9; 3) ; |OB| = 9.4868**

**Scalar product OA .OB = 63**

**Angle ∠ AOB = 18°26'6″ = 0.3218 rad**