Line slope calculator 5x-3y=2


Enter coordinates of two different points:

Straight line given by points A[1; 1] and B[4; 6]

Calculation:

Slope-intercept form of line: y = 1.6667x-0.6667

Canonical form of the line equation: 5x-3y-2 = 0

Parametric form of the line equation:
x = 3t+1
y = 5t+1      ; t ∈ R

Slope: m = 1.6667

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

X intercept: x0 = 0.4

Y intercept: y0 = q = -0.6667

Distance line from the origin: d0 = 0.343

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

Vector: AB = (3; 5)

Normal vector: n = (5; -3)

Midpoint of the segment AB: M = [2.5; 3.5]

Perpendicular Bisector equation: 3x+5y-25 = 0


Vector OA = (1; 1) ;   |OA| = 1.4142
Vector OB = (4; 6) ;   |OB| = 7.2111
Scalar product OA .OB = 10
Angle ∠ AOB = 11°18'36″ = 0.1974 rad