Line slope calculator 8x+3y=24
Straight line given by points A[0; 8] and B[3; 0]
Calculation:
Slope: m = -2.6667Slope-intercept form of line: y = -2.6667x+8
Canonical form of the line equation: 8x+3y-24 = 0
Parametric form of the line equation:
x = 3t
y = -8t+8 ; t ∈ R
Slope angle of line: φ = -69°26'38″ = -1.212 rad
X intercept: x0 = 3
Y intercept: y0 = q = 8
Distance line from the origin: d0 = 2.809
The length of the segment AB: |AB| = 8.544
Vector: AB = (3; -8)
Normal vector: n = (8; 3)
Midpoint of the segment AB: M = [1.5; 4]
Perpendicular Bisector equation: 3x-8y+27.5 = 0
Vector OA = (0; 8) ; |OA| = 8
Vector OB = (3; 0) ; |OB| = 3
Scalar product OA .OB = 0
Angle ∠ AOB = 90° = 1.5708 rad