Line slope calculator 5x+2y=47
Straight line given by points A[7; 6] and B[9; 1]
Calculation:
Slope: m = -2.5Slope-intercept form of line: y = -2.5x+23.5
Canonical form of the line equation: 5x+2y-47 = 0
Parametric form of the line equation:
x = 2t+7
y = -5t+6 ; t ∈ R
Slope angle of line: φ = -68°11'55″ = -1.1903 rad
X intercept: x0 = 9.4
Y intercept: y0 = q = 23.5
Distance line from the origin: d0 = 8.7277
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; 3.5]
Perpendicular Bisector equation: 2x-5y+1.5 = 0
Vector OA = (7; 6) ; |OA| = 9.2195
Vector OB = (9; 1) ; |OB| = 9.0554
Scalar product OA .OB = 69
Angle ∠ AOB = 34°15'40″ = 0.598 rad