Line slope calculator 3x+y=6


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 6] and B[1; 3]

Calculation:

Slope: m = -3

Slope-intercept form of line: y = -3x+6

Canonical form of the line equation: 3x+y-6 = 0

Parametric form of the line equation:
x = t
y = -3t+6      ; t ∈ R

Slope angle of line: φ = -71°33'54″ = -1.249 rad

X intercept: x0 = 2

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 1.8974

The length of the segment AB: |AB| = 3.1623

Vector: AB = (1; -3)

Normal vector: n = (3; 1)

Midpoint of the segment AB: M = [0.5; 4.5]

Perpendicular Bisector equation: x-3y+13 = 0


Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (1; 3) ;   |OB| = 3.1623
Scalar product OA .OB = 18
Angle ∠ AOB = 18°26'6″ = 0.3218 rad