# Line slope calculator 7x+10y=100

**Straight line given by points A[0; 10] and B[10; 3]**

## Calculation:

**Slope-intercept form of line:**y = -0.7x+10

**Canonical form of the line equation:**7x+10y-100 = 0

**Parametric form of the line equation:**

x = 10t

y = -7t+10 ; t ∈ R

**Slope:**m = -0.7

**Slope angle of line: φ =**-34°59'31″ = -0.6107 rad

**X intercept:**x

_{0}= 14.2857

**Y intercept:**y

_{0}= q = 10

**Distance line from the origin:**d

_{0}= 8.1923

**The length of the segment AB: |AB| =**12.2066

**Vector: AB =**(10; -7)

**Normal vector: n =**(7; 10)

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

**Perpendicular Bisector equation:**10x-7y-4.5 = 0

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

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

**Scalar product OA .OB = 30**

**Angle ∠ AOB = 73°18'3″ = 1.2793 rad**