Line slope calculator x+6y=21


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 3] and B[9; 2]

Calculation:

Slope: m = -0.1667

Slope-intercept form of line: y = -0.1667x+3.5

Canonical form of the line equation: x+6y-21 = 0

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

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

X intercept: x0 = 21

Y intercept: y0 = q = 3.5

Distance line from the origin: d0 = 3.4524

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

Vector: AB = (6; -1)

Normal vector: n = (1; 6)

Midpoint of the segment AB: M = [6; 2.5]

Perpendicular Bisector equation: 6x-y-33.5 = 0

Vector OA = (3; 3) ;   |OA| = 4.2426
Vector OB = (9; 2) ;   |OB| = 9.2195
Scalar product OA .OB = 33
Angle ∠ AOB = 32°28'16″ = 0.5667 rad