Line slope calculator 2x+5y=42
Straight line given by points A[1; 8] and B[6; 6]
Calculation:
Slope: m = -0.4Slope-intercept form of line: y = -0.4x+8.4
Canonical form of the line equation: 2x+5y-42 = 0
Parametric form of the line equation:
x = 5t+1
y = -2t+8 ; t ∈ R
Slope angle of line: φ = -21°48'5″ = -0.3805 rad
X intercept: x0 = 21
Y intercept: y0 = q = 8.4
Distance line from the origin: d0 = 7.7992
The length of the segment AB: |AB| = 5.3852
Vector: AB = (5; -2)
Normal vector: n = (2; 5)
Midpoint of the segment AB: M = [3.5; 7]
Perpendicular Bisector equation: 5x-2y-3.5 = 0
Vector OA = (1; 8) ; |OA| = 8.0623
Vector OB = (6; 6) ; |OB| = 8.4853
Scalar product OA .OB = 54
Angle ∠ AOB = 37°52'30″ = 0.661 rad