# Line slope calculator 2x+5y=56

**Straight line given by points A[3; 10] and B[8; 8]**

## Calculation:

**Slope-intercept form of line:**y = -0.4x+11.2

**Canonical form of the line equation:**2x+5y-56 = 0

**Parametric form of the line equation:**

x = 5t+3

y = -2t+10 ; t ∈ R

**Slope:**m = -0.4

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

**X intercept:**x

_{0}= 28

**Y intercept:**y

_{0}= q = 11.2

**Distance line from the origin:**d

_{0}= 10.3989

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

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

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

**Midpoint of the segment AB: M =**[5.5; 9]

**Perpendicular Bisector equation:**5x-2y-9.5 = 0

**Vector OA = (3; 10) ; |OA| = 10.4403**

**Vector OB = (8; 8) ; |OB| = 11.3137**

**Scalar product OA .OB = 104**

**Angle ∠ AOB = 28°18'3″ = 0.4939 rad**