Line slope calculator 3x-2y=8
Straight line given by points A[4; 2] and B[6; 5]
Calculation:
Slope: m = 1.5Slope-intercept form of line: y = 1.5x-4
Canonical form of the line equation: 3x-2y-8 = 0
Parametric form of the line equation:
x = 2t+4
y = 3t+2 ; t ∈ R
Slope angle of line: φ = 56°18'36″ = 0.9828 rad
X intercept: x0 = 2.6667
Y intercept: y0 = q = -4
Distance line from the origin: d0 = 2.2188
The length of the segment AB: |AB| = 3.6056
Vector: AB = (2; 3)
Normal vector: n = (3; -2)
Midpoint of the segment AB: M = [5; 3.5]
Perpendicular Bisector equation: 2x+3y-20.5 = 0
Vector OA = (4; 2) ; |OA| = 4.4721
Vector OB = (6; 5) ; |OB| = 7.8102
Scalar product OA .OB = 34
Angle ∠ AOB = 13°14'26″ = 0.2311 rad