# Line slope calculator 4x-7y=1

**Straight line given by points A[2; 1] and B[9; 5]**

## Calculation:

**Slope-intercept form of line:**y = 0.5714x-0.1429

**Canonical form of the line equation:**4x-7y-1 = 0

**Parametric form of the line equation:**

x = 7t+2

y = 4t+1 ; t ∈ R

**Slope:**m = 0.5714

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

**X intercept:**x

_{0}= 0.25

**Y intercept:**y

_{0}= q = -0.1429

**Distance line from the origin:**d

_{0}= 0.124

**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; 3]

**Perpendicular Bisector equation:**7x+4y-50.5 = 0

**Vector OA = (2; 1) ; |OA| = 2.2361**

**Vector OB = (9; 5) ; |OB| = 10.2956**

**Scalar product OA .OB = 23**

**Angle ∠ AOB = 2°29'22″ = 0.0435 rad**