# Line slope calculator 4x-7y=-24

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

## Calculation:

**Slope-intercept form of line:**y = 0.5714x+3.4286

**Canonical form of the line equation:**4x-7y+24 = 0

**Parametric form of the line equation:**

x = 7t+1

y = 4t+4 ; t ∈ R

**Slope:**m = 0.5714

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

**X intercept:**x

_{0}= -6

**Y intercept:**y

_{0}= q = 3.4286

**Distance line from the origin:**d

_{0}= 2.9768

**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; 6]

**Perpendicular Bisector equation:**7x+4y-55.5 = 0

**Vector OA = (1; 4) ; |OA| = 4.1231**

**Vector OB = (8; 8) ; |OB| = 11.3137**

**Scalar product OA .OB = 40**

**Angle ∠ AOB = 30°57'50″ = 0.5404 rad**