# Line slope calculator 7x+5y=78

**Straight line given by points A[4; 10] and B[9; 3]**

## Calculation:

**Slope-intercept form of line:**y = -1.4x+15.6

**Canonical form of the line equation:**7x+5y-78 = 0

**Parametric form of the line equation:**

x = 5t+4

y = -7t+10 ; t ∈ R

**Slope:**m = -1.4

**Slope angle of line: φ =**-54°27'44″ = -0.9505 rad

**X intercept:**x

_{0}= 11.1429

**Y intercept:**y

_{0}= q = 15.6

**Distance line from the origin:**d

_{0}= 9.0673

**The length of the segment AB: |AB| =**8.6023

**Vector: AB =**(5; -7)

**Normal vector: n =**(7; 5)

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

**Perpendicular Bisector equation:**5x-7y+13 = 0

**Vector OA = (4; 10) ; |OA| = 10.7703**

**Vector OB = (9; 3) ; |OB| = 9.4868**

**Scalar product OA .OB = 66**

**Angle ∠ AOB = 49°45'49″ = 0.8685 rad**