Line slope calculator x+3y=21


Enter coordinates of two different points:

Straight line given by points A[3; 6] and B[6; 5]

Calculation:

Slope-intercept form of line: y = -0.3333x+7

Canonical form of the line equation: x+3y-21 = 0

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

Slope: m = -0.3333

Slope angle of line: φ = -18°26'6″ = -0.3218 rad

X intercept: x0 = 21

Y intercept: y0 = q = 7

Distance line from the origin: d0 = 6.6408

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

Vector: AB = (3; -1)

Normal vector: n = (1; 3)

Midpoint of the segment AB: M = [4.5; 5.5]

Perpendicular Bisector equation: 3x-y-8 = 0


Vector OA = (3; 6) ;   |OA| = 6.7082
Vector OB = (6; 5) ;   |OB| = 7.8102
Scalar product OA .OB = 48
Angle ∠ AOB = 23°37'46″ = 0.4124 rad