# Line slope calculator 4x-y=-1

**Straight line given by points A[0; 1] and B[1; 5]**

## Calculation:

**Slope-intercept form of line:**y = 4x+1

**Canonical form of the line equation:**4x-y+1 = 0

**Parametric form of the line equation:**

x = t

y = 4t+1 ; t ∈ R

**Slope:**m = 4

**Slope angle of line: φ =**75°57'50″ = 1.3258 rad

**X intercept:**x

_{0}= -0.25

**Y intercept:**y

_{0}= q = 1

**Distance line from the origin:**d

_{0}= 0.2425

**The length of the segment AB: |AB| =**4.1231

**Vector: AB =**(1; 4)

**Normal vector: n =**(4; -1)

**Midpoint of the segment AB: M =**[0.5; 3]

**Perpendicular Bisector equation:**x+4y-12.5 = 0

**Vector OA = (0; 1) ; |OA| = 1**

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

**Scalar product OA .OB = 5**

**Angle ∠ AOB = 11°18'36″ = 0.1974 rad**