Line slope calculator 3x+8y=51
Straight line given by points A[1; 6] and B[9; 3]
Calculation:
Slope: m = -0.375Slope-intercept form of line: y = -0.375x+6.375
Canonical form of the line equation: 3x+8y-51 = 0
Parametric form of the line equation:
x = 8t+1
y = -3t+6 ; t ∈ R
Slope angle of line: φ = -20°33'22″ = -0.3588 rad
X intercept: x0 = 17
Y intercept: y0 = q = 6.375
Distance line from the origin: d0 = 5.9691
The length of the segment AB: |AB| = 8.544
Vector: AB = (8; -3)
Normal vector: n = (3; 8)
Midpoint of the segment AB: M = [5; 4.5]
Perpendicular Bisector equation: 8x-3y-26.5 = 0
Vector OA = (1; 6) ; |OA| = 6.0828
Vector OB = (9; 3) ; |OB| = 9.4868
Scalar product OA .OB = 27
Angle ∠ AOB = 62°6'10″ = 1.0839 rad