Line slope calculator x-6y=-28


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 5] and B[8; 6]

Calculation:

Slope: m = 0.1667

Slope-intercept form of line: y = 0.1667x+4.6667

Canonical form of the line equation: x-6y+28 = 0

Parametric form of the line equation:
x = 6t+2
y = t+5      ; t ∈ R

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

X intercept: x0 = -28

Y intercept: y0 = q = 4.6667

Distance line from the origin: d0 = 4.6032

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

Vector: AB = (6; 1)

Normal vector: n = (1; -6)

Midpoint of the segment AB: M = [5; 5.5]

Perpendicular Bisector equation: 6x+y-35.5 = 0

Vector OA = (2; 5) ;   |OA| = 5.3852
Vector OB = (8; 6) ;   |OB| = 10
Scalar product OA .OB = 46
Angle ∠ AOB = 31°19'43″ = 0.5468 rad