Line slope calculator 3x+2y=30
Straight line given by points A[6; 6] and B[8; 3]
Calculation:
Slope: m = -1.5Slope-intercept form of line: y = -1.5x+15
Canonical form of the line equation: 3x+2y-30 = 0
Parametric form of the line equation:
x = 2t+6
y = -3t+6 ; t ∈ R
Slope angle of line: φ = -56°18'36″ = -0.9828 rad
X intercept: x0 = 10
Y intercept: y0 = q = 15
Distance line from the origin: d0 = 8.3205
The length of the segment AB: |AB| = 3.6056
Vector: AB = (2; -3)
Normal vector: n = (3; 2)
Midpoint of the segment AB: M = [7; 4.5]
Perpendicular Bisector equation: 2x-3y-0.5 = 0
Vector OA = (6; 6) ; |OA| = 8.4853
Vector OB = (8; 3) ; |OB| = 8.544
Scalar product OA .OB = 66
Angle ∠ AOB = 24°26'38″ = 0.4266 rad