# Line slope calculator 10x+3y=100

**Straight line given by points A[7; 10] and B[10; 0]**

## Calculation:

**Slope-intercept form of line:**y = -3.3333x+33.3333

**Canonical form of the line equation:**10x+3y-100 = 0

**Parametric form of the line equation:**

x = 3t+7

y = -10t+10 ; t ∈ R

**Slope:**m = -3.3333

**Slope angle of line: φ =**-73°18'3″ = -1.2793 rad

**X intercept:**x

_{0}= 10

**Y intercept:**y

_{0}= q = 33.3333

**Distance line from the origin:**d

_{0}= 9.5783

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

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

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

**Midpoint of the segment AB: M =**[8.5; 5]

**Perpendicular Bisector equation:**3x-10y+24.5 = 0

**Vector OA = (7; 10) ; |OA| = 12.2066**

**Vector OB = (10; 0) ; |OB| = 10**

**Scalar product OA .OB = 70**

**Angle ∠ AOB = 55°29″ = 0.9601 rad**