# Line slope calculator 3x-10y=-50

**Straight line given by points A[0; 5] and B[10; 8]**

## Calculation:

**Slope-intercept form of line:**y = 0.3x+5

**Canonical form of the line equation:**3x-10y+50 = 0

**Parametric form of the line equation:**

x = 10t

y = 3t+5 ; t ∈ R

**Slope:**m = 0.3

**Slope angle of line: φ =**16°41'57″ = 0.2915 rad

**X intercept:**x

_{0}= -16.6667

**Y intercept:**y

_{0}= q = 5

**Distance line from the origin:**d

_{0}= 4.7891

**The length of the segment AB: |AB| =**10.4403

**Vector: AB =**(10; 3)

**Normal vector: n =**(3; -10)

**Midpoint of the segment AB: M =**[5; 6.5]

**Perpendicular Bisector equation:**10x+3y-69.5 = 0

**Vector OA = (0; 5) ; |OA| = 5**

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

**Scalar product OA .OB = 40**

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