# Line slope calculator 7x-4y=24

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

## Calculation:

**Slope-intercept form of line:**y = 1.75x-6

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

**Parametric form of the line equation:**

x = 4t+4

y = 7t+1 ; t ∈ R

**Slope:**m = 1.75

**Slope angle of line: φ =**60°15'18″ = 1.0517 rad

**X intercept:**x

_{0}= 3.4286

**Y intercept:**y

_{0}= q = -6

**Distance line from the origin:**d

_{0}= 2.9768

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

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

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

**Midpoint of the segment AB: M =**[6; 4.5]

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

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

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

**Scalar product OA .OB = 40**

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