Line slope calculator 6x-5y=18
Straight line given by points A[3; 0] and B[8; 6]
Calculation:
Slope: m = 1.2Slope-intercept form of line: y = 1.2x-3.6
Canonical form of the line equation: 6x-5y-18 = 0
Parametric form of the line equation:
x = 5t+3
y = 6t ; t ∈ R
Slope angle of line: φ = 50°11'40″ = 0.8761 rad
X intercept: x0 = 3
Y intercept: y0 = q = -3.6
Distance line from the origin: d0 = 2.3047
The length of the segment AB: |AB| = 7.8102
Vector: AB = (5; 6)
Normal vector: n = (6; -5)
Midpoint of the segment AB: M = [5.5; 3]
Perpendicular Bisector equation: 5x+6y-45.5 = 0
Vector OA = (3; 0) ; |OA| = 3
Vector OB = (8; 6) ; |OB| = 10
Scalar product OA .OB = 24
Angle ∠ AOB = 36°52'12″ = 0.6435 rad