Line slope calculator 5x+2y=51
Straight line given by points A[7; 8] and B[9; 3]
Calculation:
Slope: m = -2.5Slope-intercept form of line: y = -2.5x+25.5
Canonical form of the line equation: 5x+2y-51 = 0
Parametric form of the line equation:
x = 2t+7
y = -5t+8 ; t ∈ R
Slope angle of line: φ = -68°11'55″ = -1.1903 rad
X intercept: x0 = 10.2
Y intercept: y0 = q = 25.5
Distance line from the origin: d0 = 9.4705
The length of the segment AB: |AB| = 5.3852
Vector: AB = (2; -5)
Normal vector: n = (5; 2)
Midpoint of the segment AB: M = [8; 5.5]
Perpendicular Bisector equation: 2x-5y+11.5 = 0
Vector OA = (7; 8) ; |OA| = 10.6301
Vector OB = (9; 3) ; |OB| = 9.4868
Scalar product OA .OB = 87
Angle ∠ AOB = 30°22'45″ = 0.5302 rad