Line slope calculator x+6y=30


Enter coordinates of two different points:

Straight line given by points A[0; 5] and B[6; 4]

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; 4.5]

Perpendicular Bisector equation: 6x-y-13.5 = 0


Vector OA = (0; 5) ;   |OA| = 5
Vector OB = (6; 4) ;   |OB| = 7.2111
Scalar product OA .OB = 20
Angle ∠ AOB = 56°18'36″ = 0.9828 rad