Line slope calculator 5x-6y=-18
Straight line given by points A[0; 3] and B[6; 8]
Calculation:
Slope: m = 0.8333Slope-intercept form of line: y = 0.8333x+3
Canonical form of the line equation: 5x-6y+18 = 0
Parametric form of the line equation:
x = 6t
y = 5t+3 ; t ∈ R
Slope angle of line: φ = 39°48'20″ = 0.6947 rad
X intercept: x0 = -3.6
Y intercept: y0 = q = 3
Distance line from the origin: d0 = 2.3047
The length of the segment AB: |AB| = 7.8102
Vector: AB = (6; 5)
Normal vector: n = (5; -6)
Midpoint of the segment AB: M = [3; 5.5]
Perpendicular Bisector equation: 6x+5y-45.5 = 0
Vector OA = (0; 3) ; |OA| = 3
Vector OB = (6; 8) ; |OB| = 10
Scalar product OA .OB = 24
Angle ∠ AOB = 36°52'12″ = 0.6435 rad