# Line slope calculator 3x-2y=7

**Straight line given by points A[3; 1] and B[5; 4]**

## Calculation:

**Slope-intercept form of line:**y = 1.5x-3.5

**Canonical form of the line equation:**3x-2y-7 = 0

**Parametric form of the line equation:**

x = 2t+3

y = 3t+1 ; t ∈ R

**Slope:**m = 1.5

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

**X intercept:**x

_{0}= 2.3333

**Y intercept:**y

_{0}= q = -3.5

**Distance line from the origin:**d

_{0}= 1.9415

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

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

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

**Midpoint of the segment AB: M =**[4; 2.5]

**Perpendicular Bisector equation:**2x+3y-15.5 = 0

**Vector OA = (3; 1) ; |OA| = 3.1623**

**Vector OB = (5; 4) ; |OB| = 6.4031**

**Scalar product OA .OB = 19**

**Angle ∠ AOB = 20°13'29″ = 0.353 rad**