Line slope calculator 2x-3y=6
Straight line given by points A[3; 0] and B[6; 2]
Calculation:
Slope: m = 0.6667Slope-intercept form of line: y = 0.6667x-2
Canonical form of the line equation: 2x-3y-6 = 0
Parametric form of the line equation:
x = 3t+3
y = 2t ; t ∈ R
Slope angle of line: φ = 33°41'24″ = 0.588 rad
X intercept: x0 = 3
Y intercept: y0 = q = -2
Distance line from the origin: d0 = 1.6641
The length of the segment AB: |AB| = 3.6056
Vector: AB = (3; 2)
Normal vector: n = (2; -3)
Midpoint of the segment AB: M = [4.5; 1]
Perpendicular Bisector equation: 3x+2y-15.5 = 0
Vector OA = (3; 0) ; |OA| = 3
Vector OB = (6; 2) ; |OB| = 6.3246
Scalar product OA .OB = 18
Angle ∠ AOB = 18°26'6″ = 0.3218 rad