Line slope calculator x+6y=27


Enter coordinates of two different points:

Straight line given by points A[3; 4] and B[9; 3]

Calculation:

Slope-intercept form of line: y = -0.1667x+4.5

Canonical form of the line equation: x+6y-27 = 0

Parametric form of the line equation:
x = 6t+3
y = -t+4      ; t ∈ R

Slope: m = -0.1667

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

X intercept: x0 = 27

Y intercept: y0 = q = 4.5

Distance line from the origin: d0 = 4.4388

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; 3.5]

Perpendicular Bisector equation: 6x-y-32.5 = 0


Vector OA = (3; 4) ;   |OA| = 5
Vector OB = (9; 3) ;   |OB| = 9.4868
Scalar product OA .OB = 39
Angle ∠ AOB = 34°41'43″ = 0.6055 rad