# Line slope calculator 5x+2y=45

**Straight line given by points A[5; 10] and B[7; 5]**

## Calculation:

**Slope-intercept form of line:**y = -2.5x+22.5

**Canonical form of the line equation:**5x+2y-45 = 0

**Parametric form of the line equation:**

x = 2t+5

y = -5t+10 ; t ∈ R

**Slope:**m = -2.5

**Slope angle of line: φ =**-68°11'55″ = -1.1903 rad

**X intercept:**x

_{0}= 9

**Y intercept:**y

_{0}= q = 22.5

**Distance line from the origin:**d

_{0}= 8.3563

**The length of the segment AB: |AB| =**5.3852

**Vector: AB =**(2; -5)

**Normal vector: n =**(5; 2)

**Midpoint of the segment AB: M =**[6; 7.5]

**Perpendicular Bisector equation:**2x-5y+25.5 = 0

**Vector OA = (5; 10) ; |OA| = 11.1803**

**Vector OB = (7; 5) ; |OB| = 8.6023**

**Scalar product OA .OB = 85**

**Angle ∠ AOB = 27°53'50″ = 0.4869 rad**