Line slope calculator 6x-5y=20
Straight line given by points A[5; 2] and B[10; 8]
Calculation:
Slope: m = 1.2Slope-intercept form of line: y = 1.2x-4
Canonical form of the line equation: 6x-5y-20 = 0
Parametric form of the line equation:
x = 5t+5
y = 6t+2 ; t ∈ R
Slope angle of line: φ = 50°11'40″ = 0.8761 rad
X intercept: x0 = 3.3333
Y intercept: y0 = q = -4
Distance line from the origin: d0 = 2.5607
The length of the segment AB: |AB| = 7.8102
Vector: AB = (5; 6)
Normal vector: n = (6; -5)
Midpoint of the segment AB: M = [7.5; 5]
Perpendicular Bisector equation: 5x+6y-67.5 = 0
Vector OA = (5; 2) ; |OA| = 5.3852
Vector OB = (10; 8) ; |OB| = 12.8062
Scalar product OA .OB = 66
Angle ∠ AOB = 16°51'30″ = 0.2942 rad