Line slope calculator 6x+y=54
Straight line given by points A[8; 6] and B[9; 0]
Calculation:
Slope: m = -6Slope-intercept form of line: y = -6x+54
Canonical form of the line equation: 6x+y-54 = 0
Parametric form of the line equation:
x = t+8
y = -6t+6 ; t ∈ R
Slope angle of line: φ = -80°32'16″ = -1.4056 rad
X intercept: x0 = 9
Y intercept: y0 = q = 54
Distance line from the origin: d0 = 8.8775
The length of the segment AB: |AB| = 6.0828
Vector: AB = (1; -6)
Normal vector: n = (6; 1)
Midpoint of the segment AB: M = [8.5; 3]
Perpendicular Bisector equation: x-6y+9.5 = 0
Vector OA = (8; 6) ; |OA| = 10
Vector OB = (9; 0) ; |OB| = 9
Scalar product OA .OB = 72
Angle ∠ AOB = 36°52'12″ = 0.6435 rad