Line slope calculator 2x+3y=6
Straight line given by points A[0; 2] and B[3; 0]
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
y = -2t+2 ; 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 = [1.5; 1]
Perpendicular Bisector equation: 3x-2y-2.5 = 0
Vector OA = (0; 2) ; |OA| = 2
Vector OB = (3; 0) ; |OB| = 3
Scalar product OA .OB = 0
Angle ∠ AOB = 90° = 1.5708 rad