Line slope calculator 2x-3y=8
Straight line given by points A[4; 0] and B[7; 2]
Calculation:
Slope: m = 0.6667Slope-intercept form of line: y = 0.6667x-2.6667
Canonical form of the line equation: 2x-3y-8 = 0
Parametric form of the line equation:
x = 3t+4
y = 2t ; t ∈ R
Slope angle of line: φ = 33°41'24″ = 0.588 rad
X intercept: x0 = 4
Y intercept: y0 = q = -2.6667
Distance line from the origin: d0 = 2.2188
The length of the segment AB: |AB| = 3.6056
Vector: AB = (3; 2)
Normal vector: n = (2; -3)
Midpoint of the segment AB: M = [5.5; 1]
Perpendicular Bisector equation: 3x+2y-18.5 = 0
Vector OA = (4; 0) ; |OA| = 4
Vector OB = (7; 2) ; |OB| = 7.2801
Scalar product OA .OB = 28
Angle ∠ AOB = 15°56'43″ = 0.2783 rad