Line slope calculator 3x-8y=-16
Straight line given by points A[0; 2] and B[8; 5]
Calculation:
Slope: m = 0.375Slope-intercept form of line: y = 0.375x+2
Canonical form of the line equation: 3x-8y+16 = 0
Parametric form of the line equation:
x = 8t
y = 3t+2 ; t ∈ R
Slope angle of line: φ = 20°33'22″ = 0.3588 rad
X intercept: x0 = -5.3333
Y intercept: y0 = q = 2
Distance line from the origin: d0 = 1.8727
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; 3.5]
Perpendicular Bisector equation: 8x+3y-42.5 = 0
Vector OA = (0; 2) ; |OA| = 2
Vector OB = (8; 5) ; |OB| = 9.434
Scalar product OA .OB = 10
Angle ∠ AOB = 57°59'41″ = 1.0122 rad