Line slope calculator 6x+5y=64
Straight line given by points A[4; 8] and B[9; 2]
Calculation:
Slope: m = -1.2Slope-intercept form of line: y = -1.2x+12.8
Canonical form of the line equation: 6x+5y-64 = 0
Parametric form of the line equation:
x = 5t+4
y = -6t+8 ; t ∈ R
Slope angle of line: φ = -50°11'40″ = -0.8761 rad
X intercept: x0 = 10.6667
Y intercept: y0 = q = 12.8
Distance line from the origin: d0 = 8.1944
The length of the segment AB: |AB| = 7.8102
Vector: AB = (5; -6)
Normal vector: n = (6; 5)
Midpoint of the segment AB: M = [6.5; 5]
Perpendicular Bisector equation: 5x-6y-2.5 = 0
Vector OA = (4; 8) ; |OA| = 8.9443
Vector OB = (9; 2) ; |OB| = 9.2195
Scalar product OA .OB = 52
Angle ∠ AOB = 50°54'22″ = 0.8885 rad