Line slope calculator x+3y=9
Straight line given by points A[0; 3] and B[3; 2]
Calculation:
Slope: m = -0.3333Slope-intercept form of line: y = -0.3333x+3
Canonical form of the line equation: x+3y-9 = 0
Parametric form of the line equation:
x = 3t
y = -t+3 ; t ∈ R
Slope angle of line: φ = -18°26'6″ = -0.3218 rad
X intercept: x0 = 9
Y intercept: y0 = q = 3
Distance line from the origin: d0 = 2.846
The length of the segment AB: |AB| = 3.1623
Vector: AB = (3; -1)
Normal vector: n = (1; 3)
Midpoint of the segment AB: M = [1.5; 2.5]
Perpendicular Bisector equation: 3x-y-2 = 0
Vector OA = (0; 3) ; |OA| = 3
Vector OB = (3; 2) ; |OB| = 3.6056
Scalar product OA .OB = 6
Angle ∠ AOB = 56°18'36″ = 0.9828 rad