# Line slope calculator 4x-7y=8

**Straight line given by points A[2; 0] and B[9; 4]**

## Calculation:

**Slope-intercept form of line:**y = 0.5714x-1.1429

**Canonical form of the line equation:**4x-7y-8 = 0

**Parametric form of the line equation:**

x = 7t+2

y = 4t ; t ∈ R

**Slope:**m = 0.5714

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

**X intercept:**x

_{0}= 2

**Y intercept:**y

_{0}= q = -1.1429

**Distance line from the origin:**d

_{0}= 0.9923

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

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

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

**Midpoint of the segment AB: M =**[5.5; 2]

**Perpendicular Bisector equation:**7x+4y-46.5 = 0

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

**Vector OB = (9; 4) ; |OB| = 9.8489**

**Scalar product OA .OB = 18**

**Angle ∠ AOB = 23°57'45″ = 0.4182 rad**