# Line slope calculator 5x-4y=-15

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

## Calculation:

**Slope-intercept form of line:**y = 1.25x+3.75

**Canonical form of the line equation:**5x-4y+15 = 0

**Parametric form of the line equation:**

x = 4t+1

y = 5t+5 ; t ∈ R

**Slope:**m = 1.25

**Slope angle of line: φ =**51°20'25″ = 0.8961 rad

**X intercept:**x

_{0}= -3

**Y intercept:**y

_{0}= q = 3.75

**Distance line from the origin:**d

_{0}= 2.3426

**The length of the segment AB: |AB| =**6.4031

**Vector: AB =**(4; 5)

**Normal vector: n =**(5; -4)

**Midpoint of the segment AB: M =**[3; 7.5]

**Perpendicular Bisector equation:**4x+5y-49.5 = 0

**Vector OA = (1; 5) ; |OA| = 5.099**

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

**Scalar product OA .OB = 55**

**Angle ∠ AOB = 15°15'18″ = 0.2663 rad**