# Line slope calculator 5x+7y=75

**Straight line given by points A[1; 10] and B[8; 5]**

## Calculation:

**Slope-intercept form of line:**y = -0.7143x+10.7143

**Canonical form of the line equation:**5x+7y-75 = 0

**Parametric form of the line equation:**

x = 7t+1

y = -5t+10 ; t ∈ R

**Slope:**m = -0.7143

**Slope angle of line: φ =**-35°32'16″ = -0.6202 rad

**X intercept:**x

_{0}= 15

**Y intercept:**y

_{0}= q = 10.7143

**Distance line from the origin:**d

_{0}= 8.7186

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

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

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

**Midpoint of the segment AB: M =**[4.5; 7.5]

**Perpendicular Bisector equation:**7x-5y+6 = 0

**Vector OA = (1; 10) ; |OA| = 10.0499**

**Vector OB = (8; 5) ; |OB| = 9.434**

**Scalar product OA .OB = 58**

**Angle ∠ AOB = 52°17'2″ = 0.9125 rad**