# Line slope calculator 4x-7y=-14

**Straight line given by points A[0; 2] and B[7; 6]**

## Calculation:

**Slope-intercept form of line:**y = 0.5714x+2

**Canonical form of the line equation:**4x-7y+14 = 0

**Parametric form of the line equation:**

x = 7t

y = 4t+2 ; t ∈ R

**Slope:**m = 0.5714

**Slope angle of line: φ =**29°44'42″ = 0.5191 rad

**X intercept:**x

_{0}= -3.5

**Y intercept:**y

_{0}= q = 2

**Distance line from the origin:**d

_{0}= 1.7365

**The length of the segment AB: |AB| =**8.0623

**Vector: AB =**(7; 4)

**Normal vector: n =**(4; -7)

**Midpoint of the segment AB: M =**[3.5; 4]

**Perpendicular Bisector equation:**7x+4y-40.5 = 0

**Vector OA = (0; 2) ; |OA| = 2**

**Vector OB = (7; 6) ; |OB| = 9.2195**

**Scalar product OA .OB = 12**

**Angle ∠ AOB = 49°23'55″ = 0.8622 rad**