# Line slope calculator 7x-4y=23

**Straight line given by points A[5; 3] and B[9; 10]**

## Calculation:

**Slope-intercept form of line:**y = 1.75x-5.75

**Canonical form of the line equation:**7x-4y-23 = 0

**Parametric form of the line equation:**

x = 4t+5

y = 7t+3 ; t ∈ R

**Slope:**m = 1.75

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

**X intercept:**x

_{0}= 3.2857

**Y intercept:**y

_{0}= q = -5.75

**Distance line from the origin:**d

_{0}= 2.8528

**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; 6.5]

**Perpendicular Bisector equation:**4x+7y-73.5 = 0

**Vector OA = (5; 3) ; |OA| = 5.831**

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

**Scalar product OA .OB = 75**

**Angle ∠ AOB = 17°2'57″ = 0.2976 rad**