Line slope calculator x+3y=21
Straight line given by points A[3; 6] and B[6; 5]
Calculation:
Slope: m = -0.3333Slope-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 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