Line slope calculator 4x-3y=20
Straight line given by points A[5; 0] and B[8; 4]
Calculation:
Slope: m = 1.3333Slope-intercept form of line: y = 1.3333x-6.6667
Canonical form of the line equation: 4x-3y-20 = 0
Parametric form of the line equation:
x = 3t+5
y = 4t ; t ∈ R
Slope angle of line: φ = 53°7'48″ = 0.9273 rad
X intercept: x0 = 5
Y intercept: y0 = q = -6.6667
Distance line from the origin: d0 = 4
The length of the segment AB: |AB| = 5
Vector: AB = (3; 4)
Normal vector: n = (4; -3)
Midpoint of the segment AB: M = [6.5; 2]
Perpendicular Bisector equation: 3x+4y-27.5 = 0
Vector OA = (5; 0) ; |OA| = 5
Vector OB = (8; 4) ; |OB| = 8.9443
Scalar product OA .OB = 40
Angle ∠ AOB = 26°33'54″ = 0.4636 rad