Line slope calculator 6x+5y=52
Straight line given by points A[2; 8] and B[7; 2]
Calculation:
Slope: m = -1.2Slope-intercept form of line: y = -1.2x+10.4
Canonical form of the line equation: 6x+5y-52 = 0
Parametric form of the line equation:
x = 5t+2
y = -6t+8 ; t ∈ R
Slope angle of line: φ = -50°11'40″ = -0.8761 rad
X intercept: x0 = 8.6667
Y intercept: y0 = q = 10.4
Distance line from the origin: d0 = 6.6579
The length of the segment AB: |AB| = 7.8102
Vector: AB = (5; -6)
Normal vector: n = (6; 5)
Midpoint of the segment AB: M = [4.5; 5]
Perpendicular Bisector equation: 5x-6y+7.5 = 0
Vector OA = (2; 8) ; |OA| = 8.2462
Vector OB = (7; 2) ; |OB| = 7.2801
Scalar product OA .OB = 30
Angle ∠ AOB = 60°1'6″ = 1.0475 rad