# Line slope calculator 5x-2y=15

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

## Calculation:

**Slope-intercept form of line:**y = 2.5x-7.5

**Canonical form of the line equation:**5x-2y-15 = 0

**Parametric form of the line equation:**

x = 2t+3

y = 5t ; t ∈ R

**Slope:**m = 2.5

**Slope angle of line: φ =**68°11'55″ = 1.1903 rad

**X intercept:**x

_{0}= 3

**Y intercept:**y

_{0}= q = -7.5

**Distance line from the origin:**d

_{0}= 2.7854

**The length of the segment AB: |AB| =**5.3852

**Vector: AB =**(2; 5)

**Normal vector: n =**(5; -2)

**Midpoint of the segment AB: M =**[4; 2.5]

**Perpendicular Bisector equation:**2x+5y-20.5 = 0

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

**Vector OB = (5; 5) ; |OB| = 7.0711**

**Scalar product OA .OB = 15**

**Angle ∠ AOB = 45° = 0.7854 rad**