Line slope calculator 8x-3y=32
Straight line given by points A[4; 0] and B[7; 8]
Calculation:
Slope: m = 2.6667Slope-intercept form of line: y = 2.6667x-10.6667
Canonical form of the line equation: 8x-3y-32 = 0
Parametric form of the line equation:
x = 3t+4
y = 8t ; t ∈ R
Slope angle of line: φ = 69°26'38″ = 1.212 rad
X intercept: x0 = 4
Y intercept: y0 = q = -10.6667
Distance line from the origin: d0 = 3.7453
The length of the segment AB: |AB| = 8.544
Vector: AB = (3; 8)
Normal vector: n = (8; -3)
Midpoint of the segment AB: M = [5.5; 4]
Perpendicular Bisector equation: 3x+8y-48.5 = 0
Vector OA = (4; 0) ; |OA| = 4
Vector OB = (7; 8) ; |OB| = 10.6301
Scalar product OA .OB = 28
Angle ∠ AOB = 48°48'51″ = 0.852 rad