Line slope calculator 6x-5y=24
Straight line given by points A[4; 0] and B[9; 6]
Calculation:
Slope: m = 1.2Slope-intercept form of line: y = 1.2x-4.8
Canonical form of the line equation: 6x-5y-24 = 0
Parametric form of the line equation:
x = 5t+4
y = 6t ; t ∈ R
Slope angle of line: φ = 50°11'40″ = 0.8761 rad
X intercept: x0 = 4
Y intercept: y0 = q = -4.8
Distance line from the origin: d0 = 3.0729
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; 3]
Perpendicular Bisector equation: 5x+6y-50.5 = 0
Vector OA = (4; 0) ; |OA| = 4
Vector OB = (9; 6) ; |OB| = 10.8167
Scalar product OA .OB = 36
Angle ∠ AOB = 33°41'24″ = 0.588 rad