Line slope calculator 3x-8y=-40
Straight line given by points A[0; 5] and B[8; 8]
Calculation:
Slope: m = 0.375Slope-intercept form of line: y = 0.375x+5
Canonical form of the line equation: 3x-8y+40 = 0
Parametric form of the line equation:
x = 8t
y = 3t+5 ; t ∈ R
Slope angle of line: φ = 20°33'22″ = 0.3588 rad
X intercept: x0 = -13.3333
Y intercept: y0 = q = 5
Distance line from the origin: d0 = 4.6816
The length of the segment AB: |AB| = 8.544
Vector: AB = (8; 3)
Normal vector: n = (3; -8)
Midpoint of the segment AB: M = [4; 6.5]
Perpendicular Bisector equation: 8x+3y-51.5 = 0
Vector OA = (0; 5) ; |OA| = 5
Vector OB = (8; 8) ; |OB| = 11.3137
Scalar product OA .OB = 40
Angle ∠ AOB = 45° = 0.7854 rad