# Line slope calculator 3x+2y=17

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

## Calculation:

**Slope-intercept form of line:**y = -1.5x+8.5

**Canonical form of the line equation:**3x+2y-17 = 0

**Parametric form of the line equation:**

x = 2t+3

y = -3t+4 ; t ∈ R

**Slope:**m = -1.5

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

**X intercept:**x

_{0}= 5.6667

**Y intercept:**y

_{0}= q = 8.5

**Distance line from the origin:**d

_{0}= 4.715

**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-0.5 = 0

**Vector OA = (3; 4) ; |OA| = 5**

**Vector OB = (5; 1) ; |OB| = 5.099**

**Scalar product OA .OB = 19**

**Angle ∠ AOB = 41°49'13″ = 0.7299 rad**