# Line slope calculator 5x-7y=15

**Straight line given by points A[3; 0] and B[10; 5]**

## Calculation:

**Slope-intercept form of line:**y = 0.7143x-2.1429

**Canonical form of the line equation:**5x-7y-15 = 0

**Parametric form of the line equation:**

x = 7t+3

y = 5t ; t ∈ R

**Slope:**m = 0.7143

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

**X intercept:**x

_{0}= 3

**Y intercept:**y

_{0}= q = -2.1429

**Distance line from the origin:**d

_{0}= 1.7437

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

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

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

**Midpoint of the segment AB: M =**[6.5; 2.5]

**Perpendicular Bisector equation:**7x+5y-58 = 0

**Vector OA = (3; 0) ; |OA| = 3**

**Vector OB = (10; 5) ; |OB| = 11.1803**

**Scalar product OA .OB = 30**

**Angle ∠ AOB = 26°33'54″ = 0.4636 rad**