Line slope calculator x-6y=-27
Straight line given by points A[3; 5] and B[9; 6]
Calculation:
Slope: m = 0.1667Slope-intercept form of line: y = 0.1667x+4.5
Canonical form of the line equation: x-6y+27 = 0
Parametric form of the line equation:
x = 6t+3
y = t+5 ; t ∈ R
Slope angle of line: φ = 9°27'44″ = 0.1651 rad
X intercept: x0 = -27
Y intercept: y0 = q = 4.5
Distance line from the origin: d0 = 4.4388
The length of the segment AB: |AB| = 6.0828
Vector: AB = (6; 1)
Normal vector: n = (1; -6)
Midpoint of the segment AB: M = [6; 5.5]
Perpendicular Bisector equation: 6x+y-41.5 = 0
Vector OA = (3; 5) ; |OA| = 5.831
Vector OB = (9; 6) ; |OB| = 10.8167
Scalar product OA .OB = 57
Angle ∠ AOB = 25°20'46″ = 0.4424 rad