Line slope calculator 3x+2y=6


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -1.5x+3

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

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

Slope: m = -1.5

Slope angle of line: φ = -56°18'36″ = -0.9828 rad

X intercept: x0 = 2

Y intercept: y0 = q = 3

Distance line from the origin: d0 = 1.6641

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

Vector: AB = (2; -3)

Normal vector: n = (3; 2)

Midpoint of the segment AB: M = [1; 1.5]

Perpendicular Bisector equation: 2x-3y+2.5 = 0


Vector OA = (0; 3) ;   |OA| = 3
Vector OB = (2; 0) ;   |OB| = 2
Scalar product OA .OB = 0
Angle ∠ AOB = 90° = 1.5708 rad