Line slope calculator 5x-3y=6


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = 1.6667x-2

Canonical form of the line equation: 5x-3y-6 = 0

Parametric form of the line equation:
x = 3t+3
y = 5t+3      ; t ∈ R

Slope: m = 1.6667

Slope angle of line: φ = 59°2'10″ = 1.0304 rad

X intercept: x0 = 1.2

Y intercept: y0 = q = -2

Distance line from the origin: d0 = 1.029

The length of the segment AB: |AB| = 5.831

Vector: AB = (3; 5)

Normal vector: n = (5; -3)

Midpoint of the segment AB: M = [4.5; 5.5]

Perpendicular Bisector equation: 3x+5y-41 = 0


Vector OA = (3; 3) ;   |OA| = 4.2426
Vector OB = (6; 8) ;   |OB| = 10
Scalar product OA .OB = 42
Angle ∠ AOB = 8°7'48″ = 0.1419 rad