Line slope calculator 3x+2y=8
Straight line given by points A[0; 4] and B[2; 1]
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
y = -3t+4 ; 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 = [1; 2.5]
Perpendicular Bisector equation: 2x-3y+5.5 = 0
Vector OA = (0; 4) ; |OA| = 4
Vector OB = (2; 1) ; |OB| = 2.2361
Scalar product OA .OB = 4
Angle ∠ AOB = 63°26'6″ = 1.1071 rad