# Line slope calculator 7x-4y=31

**Straight line given by points A[5; 1] and B[9; 8]**

## Calculation:

**Slope-intercept form of line:**y = 1.75x-7.75

**Canonical form of the line equation:**7x-4y-31 = 0

**Parametric form of the line equation:**

x = 4t+5

y = 7t+1 ; t ∈ R

**Slope:**m = 1.75

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

**X intercept:**x

_{0}= 4.4286

**Y intercept:**y

_{0}= q = -7.75

**Distance line from the origin:**d

_{0}= 3.8451

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

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

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

**Midpoint of the segment AB: M =**[7; 4.5]

**Perpendicular Bisector equation:**4x+7y-59.5 = 0

**Vector OA = (5; 1) ; |OA| = 5.099**

**Vector OB = (9; 8) ; |OB| = 12.0416**

**Scalar product OA .OB = 53**

**Angle ∠ AOB = 30°19'25″ = 0.5292 rad**