Line slope calculator 5x+2y=42
Straight line given by points A[6; 6] and B[8; 1]
Calculation:
Slope: m = -2.5Slope-intercept form of line: y = -2.5x+21
Canonical form of the line equation: 5x+2y-42 = 0
Parametric form of the line equation:
x = 2t+6
y = -5t+6 ; t ∈ R
Slope angle of line: φ = -68°11'55″ = -1.1903 rad
X intercept: x0 = 8.4
Y intercept: y0 = q = 21
Distance line from the origin: d0 = 7.7992
The length of the segment AB: |AB| = 5.3852
Vector: AB = (2; -5)
Normal vector: n = (5; 2)
Midpoint of the segment AB: M = [7; 3.5]
Perpendicular Bisector equation: 2x-5y+3.5 = 0
Vector OA = (6; 6) ; |OA| = 8.4853
Vector OB = (8; 1) ; |OB| = 8.0623
Scalar product OA .OB = 54
Angle ∠ AOB = 37°52'30″ = 0.661 rad