# Line slope calculator 4x+7y=54

**Straight line given by points A[3; 6] and B[10; 2]**

## Calculation:

**Slope-intercept form of line:**y = -0.5714x+7.7143

**Canonical form of the line equation:**4x+7y-54 = 0

**Parametric form of the line equation:**

x = 7t+3

y = -4t+6 ; t ∈ R

**Slope:**m = -0.5714

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

**X intercept:**x

_{0}= 13.5

**Y intercept:**y

_{0}= q = 7.7143

**Distance line from the origin:**d

_{0}= 6.6979

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

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

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

**Midpoint of the segment AB: M =**[6.5; 4]

**Perpendicular Bisector equation:**7x-4y-29.5 = 0

**Vector OA = (3; 6) ; |OA| = 6.7082**

**Vector OB = (10; 2) ; |OB| = 10.198**

**Scalar product OA .OB = 42**

**Angle ∠ AOB = 52°7'30″ = 0.9098 rad**