# Line slope calculator 4x-7y=-34

**Straight line given by points A[2; 6] and B[9; 10]**

## Calculation:

**Slope-intercept form of line:**y = 0.5714x+4.8571

**Canonical form of the line equation:**4x-7y+34 = 0

**Parametric form of the line equation:**

x = 7t+2

y = 4t+6 ; t ∈ R

**Slope:**m = 0.5714

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

**X intercept:**x

_{0}= -8.5

**Y intercept:**y

_{0}= q = 4.8571

**Distance line from the origin:**d

_{0}= 4.2172

**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; 8]

**Perpendicular Bisector equation:**7x+4y-70.5 = 0

**Vector OA = (2; 6) ; |OA| = 6.3246**

**Vector OB = (9; 10) ; |OB| = 13.4536**

**Scalar product OA .OB = 78**

**Angle ∠ AOB = 23°33'8″ = 0.4111 rad**