# Line slope calculator x+7y=42

**Straight line given by points A[0; 6] and B[7; 5]**

## Calculation:

**Slope-intercept form of line:**y = -0.1429x+6

**Canonical form of the line equation:**x+7y-42 = 0

**Parametric form of the line equation:**

x = 7t

y = -t+6 ; t ∈ R

**Slope:**m = -0.1429

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

**X intercept:**x

_{0}= 42

**Y intercept:**y

_{0}= q = 6

**Distance line from the origin:**d

_{0}= 5.9397

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

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

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

**Midpoint of the segment AB: M =**[3.5; 5.5]

**Perpendicular Bisector equation:**7x-y-19 = 0

**Vector OA = (0; 6) ; |OA| = 6**

**Vector OB = (7; 5) ; |OB| = 8.6023**

**Scalar product OA .OB = 30**

**Angle ∠ AOB = 54°27'44″ = 0.9505 rad**