# Line slope calculator x-5y=-21

**Straight line given by points A[4; 5] and B[9; 6]**

## Calculation:

**Slope-intercept form of line:**y = 0.2x+4.2

**Canonical form of the line equation:**x-5y+21 = 0

**Parametric form of the line equation:**

x = 5t+4

y = t+5 ; t ∈ R

**Slope:**m = 0.2

**Slope angle of line: φ =**11°18'36″ = 0.1974 rad

**X intercept:**x

_{0}= -21

**Y intercept:**y

_{0}= q = 4.2

**Distance line from the origin:**d

_{0}= 4.1184

**The length of the segment AB: |AB| =**5.099

**Vector: AB =**(5; 1)

**Normal vector: n =**(1; -5)

**Midpoint of the segment AB: M =**[6.5; 5.5]

**Perpendicular Bisector equation:**5x+y-38 = 0

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

**Vector OB = (9; 6) ; |OB| = 10.8167**

**Scalar product OA .OB = 66**

**Angle ∠ AOB = 17°39' = 0.3081 rad**