Line slope calculator 5x+6y=45
Straight line given by points A[3; 5] and B[9; 0]
Calculation:
Slope: m = -0.8333Slope-intercept form of line: y = -0.8333x+7.5
Canonical form of the line equation: 5x+6y-45 = 0
Parametric form of the line equation:
x = 6t+3
y = -5t+5 ; t ∈ R
Slope angle of line: φ = -39°48'20″ = -0.6947 rad
X intercept: x0 = 9
Y intercept: y0 = q = 7.5
Distance line from the origin: d0 = 5.7617
The length of the segment AB: |AB| = 7.8102
Vector: AB = (6; -5)
Normal vector: n = (5; 6)
Midpoint of the segment AB: M = [6; 2.5]
Perpendicular Bisector equation: 6x-5y-23.5 = 0
Vector OA = (3; 5) ; |OA| = 5.831
Vector OB = (9; 0) ; |OB| = 9
Scalar product OA .OB = 27
Angle ∠ AOB = 59°2'10″ = 1.0304 rad