Line slope calculator 3x-2y=24
Straight line given by points A[8; 0] and B[10; 3]
Calculation:
Slope: m = 1.5Slope-intercept form of line: y = 1.5x-12
Canonical form of the line equation: 3x-2y-24 = 0
Parametric form of the line equation:
x = 2t+8
y = 3t ; t ∈ R
Slope angle of line: φ = 56°18'36″ = 0.9828 rad
X intercept: x0 = 8
Y intercept: y0 = q = -12
Distance line from the origin: d0 = 6.6564
The length of the segment AB: |AB| = 3.6056
Vector: AB = (2; 3)
Normal vector: n = (3; -2)
Midpoint of the segment AB: M = [9; 1.5]
Perpendicular Bisector equation: 2x+3y-22.5 = 0
Vector OA = (8; 0) ; |OA| = 8
Vector OB = (10; 3) ; |OB| = 10.4403
Scalar product OA .OB = 80
Angle ∠ AOB = 16°41'57″ = 0.2915 rad