Line slope calculator 8x-3y=24


Enter coordinates of two different points:

Straight line given by points A[3; 0] and B[6; 8]

Calculation:

Slope-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+3
y = 8t      ; t ∈ R

Slope: m = 2.6667

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 = [4.5; 4]

Perpendicular Bisector equation: 3x+8y-45.5 = 0


Vector OA = (3; 0) ;   |OA| = 3
Vector OB = (6; 8) ;   |OB| = 10
Scalar product OA .OB = 18
Angle ∠ AOB = 53°7'48″ = 0.9273 rad