# Line slope calculator x+4y=21

**Straight line given by points A[1; 5] and B[5; 4]**

## Calculation:

**Slope-intercept form of line:**y = -0.25x+5.25

**Canonical form of the line equation:**x+4y-21 = 0

**Parametric form of the line equation:**

x = 4t+1

y = -t+5 ; t ∈ R

**Slope:**m = -0.25

**Slope angle of line: φ =**-14°2'10″ = -0.245 rad

**X intercept:**x

_{0}= 21

**Y intercept:**y

_{0}= q = 5.25

**Distance line from the origin:**d

_{0}= 5.0932

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

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

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

**Midpoint of the segment AB: M =**[3; 4.5]

**Perpendicular Bisector equation:**4x-y-7.5 = 0

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

**Vector OB = (5; 4) ; |OB| = 6.4031**

**Scalar product OA .OB = 25**

**Angle ∠ AOB = 40°1'49″ = 0.6987 rad**