Line slope calculator 3x-8y=-24
Straight line given by points A[0; 3] and B[8; 6]
Calculation:
Slope: m = 0.375Slope-intercept form of line: y = 0.375x+3
Canonical form of the line equation: 3x-8y+24 = 0
Parametric form of the line equation:
x = 8t
y = 3t+3 ; t ∈ R
Slope angle of line: φ = 20°33'22″ = 0.3588 rad
X intercept: x0 = -8
Y intercept: y0 = q = 3
Distance line from the origin: d0 = 2.809
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; 4.5]
Perpendicular Bisector equation: 8x+3y-45.5 = 0
Vector OA = (0; 3) ; |OA| = 3
Vector OB = (8; 6) ; |OB| = 10
Scalar product OA .OB = 18
Angle ∠ AOB = 53°7'48″ = 0.9273 rad