Line slope calculator 8x+y=32
Straight line given by points A[3; 8] and B[4; 0]
Calculation:
Slope: m = -8Slope-intercept form of line: y = -8x+32
Canonical form of the line equation: 8x+y-32 = 0
Parametric form of the line equation:
x = t+3
y = -8t+8 ; t ∈ R
Slope angle of line: φ = -82°52'30″ = -1.4464 rad
X intercept: x0 = 4
Y intercept: y0 = q = 32
Distance line from the origin: d0 = 3.9691
The length of the segment AB: |AB| = 8.0623
Vector: AB = (1; -8)
Normal vector: n = (8; 1)
Midpoint of the segment AB: M = [3.5; 4]
Perpendicular Bisector equation: x-8y+28.5 = 0
Vector OA = (3; 8) ; |OA| = 8.544
Vector OB = (4; 0) ; |OB| = 4
Scalar product OA .OB = 12
Angle ∠ AOB = 69°26'38″ = 1.212 rad