# Line slope calculator 5x+2y=60

**Straight line given by points A[8; 10] and B[10; 5]**

## Calculation:

**Slope-intercept form of line:**y = -2.5x+30

**Canonical form of the line equation:**5x+2y-60 = 0

**Parametric form of the line equation:**

x = 2t+8

y = -5t+10 ; t ∈ R

**Slope:**m = -2.5

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

**X intercept:**x

_{0}= 12

**Y intercept:**y

_{0}= q = 30

**Distance line from the origin:**d

_{0}= 11.1417

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

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

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

**Midpoint of the segment AB: M =**[9; 7.5]

**Perpendicular Bisector equation:**2x-5y+19.5 = 0

**Vector OA = (8; 10) ; |OA| = 12.8062**

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

**Scalar product OA .OB = 130**

**Angle ∠ AOB = 24°46'31″ = 0.4324 rad**