# Line slope calculator 3x+2y=25

**Straight line given by points A[3; 8] and B[5; 5]**

## Calculation:

**Slope-intercept form of line:**y = -1.5x+12.5

**Canonical form of the line equation:**3x+2y-25 = 0

**Parametric form of the line equation:**

x = 2t+3

y = -3t+8 ; t ∈ R

**Slope:**m = -1.5

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

**X intercept:**x

_{0}= 8.3333

**Y intercept:**y

_{0}= q = 12.5

**Distance line from the origin:**d

_{0}= 6.9338

**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; 6.5]

**Perpendicular Bisector equation:**2x-3y+11.5 = 0

**Vector OA = (3; 8) ; |OA| = 8.544**

**Vector OB = (5; 5) ; |OB| = 7.0711**

**Scalar product OA .OB = 55**

**Angle ∠ AOB = 24°26'38″ = 0.4266 rad**