# Line slope calculator 4x-7y=4

**Straight line given by points A[1; 0] and B[8; 4]**

## Calculation:

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

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

**Parametric form of the line equation:**

x = 7t+1

y = 4t ; t ∈ R

**Slope:**m = 0.5714

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

**X intercept:**x

_{0}= 1

**Y intercept:**y

_{0}= q = -0.5714

**Distance line from the origin:**d

_{0}= 0.4961

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

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

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

**Midpoint of the segment AB: M =**[4.5; 2]

**Perpendicular Bisector equation:**7x+4y-39.5 = 0

**Vector OA = (1; 0) ; |OA| = 1**

**Vector OB = (8; 4) ; |OB| = 8.9443**

**Scalar product OA .OB = 8**

**Angle ∠ AOB = 26°33'54″ = 0.4636 rad**