Line slope calculator 5x-3y=12
Straight line given by points A[3; 1] and B[6; 6]
Calculation:
Slope: m = 1.6667Slope-intercept form of line: y = 1.6667x-4
Canonical form of the line equation: 5x-3y-12 = 0
Parametric form of the line equation:
x = 3t+3
y = 5t+1 ; t ∈ R
Slope angle of line: φ = 59°2'10″ = 1.0304 rad
X intercept: x0 = 2.4
Y intercept: y0 = q = -4
Distance line from the origin: d0 = 2.058
The length of the segment AB: |AB| = 5.831
Vector: AB = (3; 5)
Normal vector: n = (5; -3)
Midpoint of the segment AB: M = [4.5; 3.5]
Perpendicular Bisector equation: 3x+5y-31 = 0
Vector OA = (3; 1) ; |OA| = 3.1623
Vector OB = (6; 6) ; |OB| = 8.4853
Scalar product OA .OB = 24
Angle ∠ AOB = 26°33'54″ = 0.4636 rad