# Line slope calculator x+7y=17

**Straight line given by points A[3; 2] and B[10; 1]**

## Calculation:

**Slope-intercept form of line:**y = -0.1429x+2.4286

**Canonical form of the line equation:**x+7y-17 = 0

**Parametric form of the line equation:**

x = 7t+3

y = -t+2 ; t ∈ R

**Slope:**m = -0.1429

**Slope angle of line: φ =**-8°7'48″ = -0.1419 rad

**X intercept:**x

_{0}= 17

**Y intercept:**y

_{0}= q = 2.4286

**Distance line from the origin:**d

_{0}= 2.4042

**The length of the segment AB: |AB| =**7.0711

**Vector: AB =**(7; -1)

**Normal vector: n =**(1; 7)

**Midpoint of the segment AB: M =**[6.5; 1.5]

**Perpendicular Bisector equation:**7x-y-44 = 0

**Vector OA = (3; 2) ; |OA| = 3.6056**

**Vector OB = (10; 1) ; |OB| = 10.0499**

**Scalar product OA .OB = 32**

**Angle ∠ AOB = 27°58'46″ = 0.4883 rad**