Line slope calculator x-6y=-30


Enter coordinates of two different points:

Straight line given by points A[0; 5] and B[6; 6]

Calculation:

Slope-intercept form of line: y = 0.1667x+5

Canonical form of the line equation: x-6y+30 = 0

Parametric form of the line equation:
x = 6t
y = t+5      ; t ∈ R

Slope: m = 0.1667

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

X intercept: x0 = -30

Y intercept: y0 = q = 5

Distance line from the origin: d0 = 4.932

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

Vector: AB = (6; 1)

Normal vector: n = (1; -6)

Midpoint of the segment AB: M = [3; 5.5]

Perpendicular Bisector equation: 6x+y-23.5 = 0


Vector OA = (0; 5) ;   |OA| = 5
Vector OB = (6; 6) ;   |OB| = 8.4853
Scalar product OA .OB = 30
Angle ∠ AOB = 45° = 0.7854 rad