Line slope calculator 3x-2y=-6
Straight line given by points A[0; 3] and B[2; 6]
Calculation:
Slope: m = 1.5Slope-intercept form of line: y = 1.5x+3
Canonical form of the line equation: 3x-2y+6 = 0
Parametric form of the line equation:
x = 2t
y = 3t+3 ; t ∈ R
Slope angle of line: φ = 56°18'36″ = 0.9828 rad
X intercept: x0 = -2
Y intercept: y0 = q = 3
Distance line from the origin: d0 = 1.6641
The length of the segment AB: |AB| = 3.6056
Vector: AB = (2; 3)
Normal vector: n = (3; -2)
Midpoint of the segment AB: M = [1; 4.5]
Perpendicular Bisector equation: 2x+3y-15.5 = 0
Vector OA = (0; 3) ; |OA| = 3
Vector OB = (2; 6) ; |OB| = 6.3246
Scalar product OA .OB = 18
Angle ∠ AOB = 18°26'6″ = 0.3218 rad