# Line slope calculator 2x+5y=30

**Straight line given by points A[0; 6] and B[5; 4]**

## Calculation:

**Slope-intercept form of line:**y = -0.4x+6

**Canonical form of the line equation:**2x+5y-30 = 0

**Parametric form of the line equation:**

x = 5t

y = -2t+6 ; t ∈ R

**Slope:**m = -0.4

**Slope angle of line: φ =**-21°48'5″ = -0.3805 rad

**X intercept:**x

_{0}= 15

**Y intercept:**y

_{0}= q = 6

**Distance line from the origin:**d

_{0}= 5.5709

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

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

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

**Midpoint of the segment AB: M =**[2.5; 5]

**Perpendicular Bisector equation:**5x-2y-2.5 = 0

**Vector OA = (0; 6) ; |OA| = 6**

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

**Scalar product OA .OB = 24**

**Angle ∠ AOB = 51°20'25″ = 0.8961 rad**