Line slope calculator x+8y=24
Straight line given by points A[0; 3] and B[8; 2]
Calculation:
Slope: m = -0.125Slope-intercept form of line: y = -0.125x+3
Canonical form of the line equation: x+8y-24 = 0
Parametric form of the line equation:
x = 8t
y = -t+3 ; t ∈ R
Slope angle of line: φ = -7°7'30″ = -0.1244 rad
X intercept: x0 = 24
Y intercept: y0 = q = 3
Distance line from the origin: d0 = 2.9768
The length of the segment AB: |AB| = 8.0623
Vector: AB = (8; -1)
Normal vector: n = (1; 8)
Midpoint of the segment AB: M = [4; 2.5]
Perpendicular Bisector equation: 8x-y-29.5 = 0
Vector OA = (0; 3) ; |OA| = 3
Vector OB = (8; 2) ; |OB| = 8.2462
Scalar product OA .OB = 6
Angle ∠ AOB = 75°57'50″ = 1.3258 rad