Line slope calculator 2x-3y=-6


Enter coordinates of two different points:

Straight line given by points A[0; 2] and B[3; 4]

Calculation:

Slope-intercept form of line: y = 0.6667x+2

Canonical form of the line equation: 2x-3y+6 = 0

Parametric form of the line equation:
x = 3t
y = 2t+2      ; t ∈ R

Slope: m = 0.6667

Slope angle of line: φ = 33°41'24″ = 0.588 rad

X intercept: x0 = -3

Y intercept: y0 = q = 2

Distance line from the origin: d0 = 1.6641

The length of the segment AB: |AB| = 3.6056

Vector: AB = (3; 2)

Normal vector: n = (2; -3)

Midpoint of the segment AB: M = [1.5; 3]

Perpendicular Bisector equation: 3x+2y-10.5 = 0


Vector OA = (0; 2) ;   |OA| = 2
Vector OB = (3; 4) ;   |OB| = 5
Scalar product OA .OB = 8
Angle ∠ AOB = 36°52'12″ = 0.6435 rad