Line slope calculator x-6y=-20


Enter coordinates of two different points:

Straight line given by points A[4; 4] and B[10; 5]

Calculation:

Slope-intercept form of line: y = 0.1667x+3.3333

Canonical form of the line equation: x-6y+20 = 0

Parametric form of the line equation:
x = 6t+4
y = t+4      ; t ∈ R

Slope: m = 0.1667

Slope angle of line: φ = 9°27'44″ = 0.1651 rad

X intercept: x0 = -20

Y intercept: y0 = q = 3.3333

Distance line from the origin: d0 = 3.288

The length of the segment AB: |AB| = 6.0828

Vector: AB = (6; 1)

Normal vector: n = (1; -6)

Midpoint of the segment AB: M = [7; 4.5]

Perpendicular Bisector equation: 6x+y-46.5 = 0


Vector OA = (4; 4) ;   |OA| = 5.6569
Vector OB = (10; 5) ;   |OB| = 11.1803
Scalar product OA .OB = 60
Angle ∠ AOB = 18°26'6″ = 0.3218 rad