Line slope calculator 5x-6y=20
Straight line given by points A[4; 0] and B[10; 5]
Calculation:
Slope: m = 0.8333Slope-intercept form of line: y = 0.8333x-3.3333
Canonical form of the line equation: 5x-6y-20 = 0
Parametric form of the line equation:
x = 6t+4
y = 5t ; t ∈ R
Slope angle of line: φ = 39°48'20″ = 0.6947 rad
X intercept: x0 = 4
Y intercept: y0 = q = -3.3333
Distance line from the origin: d0 = 2.5607
The length of the segment AB: |AB| = 7.8102
Vector: AB = (6; 5)
Normal vector: n = (5; -6)
Midpoint of the segment AB: M = [7; 2.5]
Perpendicular Bisector equation: 6x+5y-54.5 = 0
Vector OA = (4; 0) ; |OA| = 4
Vector OB = (10; 5) ; |OB| = 11.1803
Scalar product OA .OB = 40
Angle ∠ AOB = 26°33'54″ = 0.4636 rad