Line slope calculator 5x+3y=43
Straight line given by points A[5; 6] and B[8; 1]
Calculation:
Slope: m = -1.6667Slope-intercept form of line: y = -1.6667x+14.3333
Canonical form of the line equation: 5x+3y-43 = 0
Parametric form of the line equation:
x = 3t+5
y = -5t+6 ; t ∈ R
Slope angle of line: φ = -59°2'10″ = -1.0304 rad
X intercept: x0 = 8.6
Y intercept: y0 = q = 14.3333
Distance line from the origin: d0 = 7.3744
The length of the segment AB: |AB| = 5.831
Vector: AB = (3; -5)
Normal vector: n = (5; 3)
Midpoint of the segment AB: M = [6.5; 3.5]
Perpendicular Bisector equation: 3x-5y-2 = 0
Vector OA = (5; 6) ; |OA| = 7.8102
Vector OB = (8; 1) ; |OB| = 8.0623
Scalar product OA .OB = 46
Angle ∠ AOB = 43°4'10″ = 0.7517 rad