# Line slope calculator 3x+7y=56

**Straight line given by points A[0; 8] and B[7; 5]**

## Calculation:

**Slope-intercept form of line:**y = -0.4286x+8

**Canonical form of the line equation:**3x+7y-56 = 0

**Parametric form of the line equation:**

x = 7t

y = -3t+8 ; t ∈ R

**Slope:**m = -0.4286

**Slope angle of line: φ =**-23°11'55″ = -0.4049 rad

**X intercept:**x

_{0}= 18.6667

**Y intercept:**y

_{0}= q = 8

**Distance line from the origin:**d

_{0}= 7.3532

**The length of the segment AB: |AB| =**7.6158

**Vector: AB =**(7; -3)

**Normal vector: n =**(3; 7)

**Midpoint of the segment AB: M =**[3.5; 6.5]

**Perpendicular Bisector equation:**7x-3y-5 = 0

**Vector OA = (0; 8) ; |OA| = 8**

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

**Scalar product OA .OB = 40**

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